61256800 has 72 divisors (see below), whose sum is σ = 163161432. Its totient is φ = 22272000.

The previous prime is 61256771. The next prime is 61256807. The reversal of 61256800 is 865216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61256807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5320 + ... + 12280.

It is an arithmetic number, because the mean of its divisors is an integer number (2266131).

Almost surely, 2^61256800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81580716).

61256800 is an abundant number, since it is smaller than the sum of its proper divisors (101904632).

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

61256800 is a wasteful number, since it uses less digits than its factorization.

61256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 61256800 is about 7826.6723452563. The cubic root of 61256800 is about 394.2013452070.

The spelling of 61256800 in words is "sixty-one million, two hundred fifty-six thousand, eight hundred".