56677920 has 192 divisors, whose sum is σ = 199148544. Its totient is φ = 13455360.

The previous prime is 56677909. The next prime is 56677927. The reversal of 56677920 is 2977665.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56677927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193294 + ... + 193586.

It is an arithmetic number, because the mean of its divisors is an integer number (1037232).

Almost surely, 2^56677920 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 56677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272).

56677920 is an abundant number, since it is smaller than the sum of its proper divisors (142470624).

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

56677920 is a wasteful number, since it uses less digits than its factorization.

56677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 56677920 is about 7528.4739489488. The cubic root of 56677920 is about 384.1238749653.

The spelling of 56677920 in words is "fifty-six million, six hundred seventy-seven thousand, nine hundred twenty".