56953820 has 96 divisors (see below), whose sum is σ = 154054656. Its totient is φ = 17164800.

The previous prime is 56953817. The next prime is 56953823. The reversal of 56953820 is 2835965.

It is an interprime number because it is at equal distance from previous prime (56953817) and next prime (56953823).

It is a super-2 number, since 2×56953820² = 6487475225184800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56953823) 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, 47144 + ... + 48336.

It is an arithmetic number, because the mean of its divisors is an integer number (1604736).

Almost surely, 2^56953820 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 56953820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77027328).

56953820 is an abundant number, since it is smaller than the sum of its proper divisors (97100836).

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

56953820 is a wasteful number, since it uses less digits than its factorization.

56953820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 56953820 is about 7546.7754703582. The cubic root of 56953820 is about 384.7461530109.

The spelling of 56953820 in words is "fifty-six million, nine hundred fifty-three thousand, eight hundred twenty".