56353920 has 192 divisors, whose sum is σ = 209304000. Its totient is φ = 12859392.

The previous prime is 56353903. The next prime is 56353937. The reversal of 56353920 is 2935365.

It is an interprime number because it is at equal distance from previous prime (56353903) and next prime (56353937).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93781 + ... + 94379.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^56353920 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 56353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

56353920 is an abundant number, since it is smaller than the sum of its proper divisors (152950080).

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

56353920 is a wasteful number, since it uses less digits than its factorization.

56353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 56353920 is about 7506.9248031401. The cubic root of 56353920 is about 383.3905262281.

The spelling of 56353920 in words is "fifty-six million, three hundred fifty-three thousand, nine hundred twenty".