56248920 has 384 divisors, whose sum is σ = 240589440. Its totient is φ = 11059200.

The previous prime is 56248897. The next prime is 56248939. The reversal of 56248920 is 2984265.

It is a happy number.

56248920 is a `hidden beast` number, since 5 + 624 + 8 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556870 + ... + 556970.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^56248920 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 56248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

56248920 is an abundant number, since it is smaller than the sum of its proper divisors (184340520).

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

56248920 is a wasteful number, since it uses less digits than its factorization.

56248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56248920 is about 7499.9279996544. The cubic root of 56248920 is about 383.1522639909.

The spelling of 56248920 in words is "fifty-six million, two hundred forty-eight thousand, nine hundred twenty".