61269600 has 216 divisors, whose sum is σ = 232438248. Its totient is φ = 13977600.

The previous prime is 61269599. The next prime is 61269613. The reversal of 61269600 is 696216.

61269600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 117340 + ... + 117860.

It is an arithmetic number, because the mean of its divisors is an integer number (1076103).

Almost surely, 2^61269600 is an apocalyptic number.

61269600 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 61269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116219124).

61269600 is an abundant number, since it is smaller than the sum of its proper divisors (171168648).

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

61269600 is a wasteful number, since it uses less digits than its factorization.

61269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 61269600 is about 7827.4900191568. The cubic root of 61269600 is about 394.2288002586.

It can be divided in two parts, 6 and 1269600, that multiplied together give a square (7617600 = 2760²).

The spelling of 61269600 in words is "sixty-one million, two hundred sixty-nine thousand, six hundred".