56582640 has 120 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 14902272.

The previous prime is 56582629. The next prime is 56582651. The reversal of 56582640 is 4628565.

56582640 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (56582629) and next prime (56582651).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 56582595 and 56582604.

It is a congruent number.

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, 63639 + ... + 64521.

It is an arithmetic number, because the mean of its divisors is an integer number (1603134).

Almost surely, 2^56582640 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 56582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

56582640 is an abundant number, since it is smaller than the sum of its proper divisors (135793440).

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

56582640 is a wasteful number, since it uses less digits than its factorization.

56582640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56582640 is about 7522.1433115835. The cubic root of 56582640 is about 383.9085068481.

The spelling of 56582640 in words is "fifty-six million, five hundred eighty-two thousand, six hundred forty".