56101680 has 160 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 14162688.

The previous prime is 56101663. The next prime is 56101697. The reversal of 56101680 is 8610165.

It is an interprime number because it is at equal distance from previous prime (56101663) and next prime (56101697).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40357 + ... + 41723.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^56101680 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 56101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

56101680 is an abundant number, since it is smaller than the sum of its proper divisors (147456720).

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

56101680 is a wasteful number, since it uses less digits than its factorization.

56101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 56101680 is about 7490.1054732227. The cubic root of 56101680 is about 382.8176523144.

The spelling of 56101680 in words is "fifty-six million, one hundred one thousand, six hundred eighty".