61457856 has 112 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 18247680.

The previous prime is 61457849. The next prime is 61457857. The reversal of 61457856 is 65875416.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61457857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61521 + ... + 62511.

Almost surely, 2^61457856 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 61457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

61457856 is an abundant number, since it is smaller than the sum of its proper divisors (119959104).

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

61457856 is a wasteful number, since it uses less digits than its factorization.

61457856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 61457856 is about 7839.5061068922. The cubic root of 61457856 is about 394.6321544775.

The spelling of 61457856 in words is "sixty-one million, four hundred fifty-seven thousand, eight hundred fifty-six".