61034400 has 324 divisors, whose sum is σ = 251808102. Its totient is φ = 13870080.

The previous prime is 61034399. The next prime is 61034411. The reversal of 61034400 is 443016.

Added to its reverse (443016) it gives a triangular number (61477416 = T₁₁₀₈₈).

61034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 55890576 + 5143824 = 7476^2 + 2268^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 352714 + ... + 352886.

Almost surely, 2^61034400 is an apocalyptic number.

61034400 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 61034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125904051).

61034400 is an abundant number, since it is smaller than the sum of its proper divisors (190773702).

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

61034400 is a wasteful number, since it uses less digits than its factorization.

61034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61034400 is about 7812.4515998501. The cubic root of 61034400 is about 393.7237019473.

Adding to 61034400 its reverse (443016), we get a palindrome (61477416).

The spelling of 61034400 in words is "sixty-one million, thirty-four thousand, four hundred".