56675340 has 72 divisors (see below), whose sum is σ = 172540368. Its totient is φ = 15058560.

The previous prime is 56675321. The next prime is 56675357. The reversal of 56675340 is 4357665.

56675340 is a `hidden beast` number, since 566 + 7 + 53 + 40 = 666.

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 = 56675295 and 56675304.

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, 82639 + ... + 83321.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 2^56675340 is an apocalyptic number.

56675340 is the 6147-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56675340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184).

56675340 is an abundant number, since it is smaller than the sum of its proper divisors (115865028).

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

56675340 is a wasteful number, since it uses less digits than its factorization.

56675340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56675340 is about 7528.3025975315. The cubic root of 56675340 is about 384.1180463896.

The spelling of 56675340 in words is "fifty-six million, six hundred seventy-five thousand, three hundred forty".