61536456 has 64 divisors (see below), whose sum is σ = 171590400. Its totient is φ = 20433600.

The previous prime is 61536451. The next prime is 61536479. The reversal of 61536456 is 65463516.

61536456 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 645 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61536456.

It is not an unprimeable number, because it can be changed into a prime (61536451) 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, 92766 + ... + 93426.

It is an arithmetic number, because the mean of its divisors is an integer number (2681100).

Almost surely, 2^61536456 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 61536456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85795200).

61536456 is an abundant number, since it is smaller than the sum of its proper divisors (110053944).

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

61536456 is a wasteful number, since it uses less digits than its factorization.

61536456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 61536456 is about 7844.5175759890. The cubic root of 61536456 is about 394.8003178091.

The spelling of 61536456 in words is "sixty-one million, five hundred thirty-six thousand, four hundred fifty-six".