56519640 has 128 divisors (see below), whose sum is σ = 191808000. Its totient is φ = 14799744.

The previous prime is 56519633. The next prime is 56519651. The reversal of 56519640 is 4691565.

56519640 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 9 + 640 = 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 = 56519595 and 56519604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63277 + ... + 64163.

It is an arithmetic number, because the mean of its divisors is an integer number (1498500).

Almost surely, 2^56519640 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 56519640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95904000).

56519640 is an abundant number, since it is smaller than the sum of its proper divisors (135288360).

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

56519640 is a wasteful number, since it uses less digits than its factorization.

56519640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56519640 is about 7517.9545090403. The cubic root of 56519640 is about 383.7659706807.

The spelling of 56519640 in words is "fifty-six million, five hundred nineteen thousand, six hundred forty".