56819520 has 168 divisors, whose sum is σ = 198318120. Its totient is φ = 14929920.

The previous prime is 56819479. The next prime is 56819527. The reversal of 56819520 is 2591865.

It is a happy number.

56819520 is a `hidden beast` number, since 56 + 81 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 56430144 = 624^2 + 7512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56819527) 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, 313830 + ... + 314010.

It is an arithmetic number, because the mean of its divisors is an integer number (1180465).

Almost surely, 2^56819520 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 56819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99159060).

56819520 is an abundant number, since it is smaller than the sum of its proper divisors (141498600).

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

56819520 is a wasteful number, since it uses less digits than its factorization.

56819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56819520 is about 7537.8723788613. The cubic root of 56819520 is about 384.4434980047.

The spelling of 56819520 in words is "fifty-six million, eight hundred nineteen thousand, five hundred twenty".