61225200 has 120 divisors (see below), whose sum is σ = 217954800. Its totient is φ = 16323840.

The previous prime is 61225189. The next prime is 61225223. The reversal of 61225200 is 252216.

Added to its reverse (252216) it gives a triangular number (61477416 = T₁₁₀₈₈).

61225200 is a `hidden beast` number, since 612 + 2 + 52 + 0 + 0 = 666.

61225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7966 + ... + 13634.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^61225200 is an apocalyptic number.

61225200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108977400).

61225200 is an abundant number, since it is smaller than the sum of its proper divisors (156729600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61225200 is a wasteful number, since it uses less digits than its factorization.

61225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61225200 is about 7824.6533469541. The cubic root of 61225200 is about 394.1335491686.

Adding to 61225200 its reverse (252216), we get a palindrome (61477416).

It can be divided in two parts, 61225 and 200, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 61225200 in words is "sixty-one million, two hundred twenty-five thousand, two hundred".