61456644 has 72 divisors (see below), whose sum is σ = 168168000. Its totient is φ = 19587744.

The previous prime is 61456643. The next prime is 61456657. The reversal of 61456644 is 44665416.

61456644 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 6 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61456599 and 61456608.

It is not an unprimeable number, because it can be changed into a prime (61456643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20982 + ... + 23730.

Almost surely, 2^61456644 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 61456644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84084000).

61456644 is an abundant number, since it is smaller than the sum of its proper divisors (106711356).

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

61456644 is a wasteful number, since it uses less digits than its factorization.

61456644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2777 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 61456644 is about 7839.4288057230. The cubic root of 61456644 is about 394.6295603024.

The spelling of 61456644 in words is "sixty-one million, four hundred fifty-six thousand, six hundred forty-four".