56642040 has 432 divisors, whose sum is σ = 244085400. Its totient is φ = 11321856.

The previous prime is 56642009. The next prime is 56642071. The reversal of 56642040 is 4024665.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56642009) and next prime (56642071).

It is a junction number, because it is equal to n+sod(n) for n = 56641995 and 56642013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2981151 + ... + 2981169.

Almost surely, 2^56642040 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 56642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122042700).

56642040 is an abundant number, since it is smaller than the sum of its proper divisors (187443360).

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

56642040 is a wasteful number, since it uses less digits than its factorization.

56642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56642040 is about 7526.0906186413. The cubic root of 56642040 is about 384.0428012187.

The spelling of 56642040 in words is "fifty-six million, six hundred forty-two thousand, forty".