56630640 has 160 divisors (see below), whose sum is σ = 201772800. Its totient is φ = 12994560.

The previous prime is 56630633. The next prime is 56630641. The reversal of 56630640 is 4603665.

56630640 = T₂₀₉ + T₂₁₀ + ... + T₇₀₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56630598 and 56630607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56630641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49596 + ... + 50724.

It is an arithmetic number, because the mean of its divisors is an integer number (1261080).

Almost surely, 2^56630640 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 56630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100886400).

56630640 is an abundant number, since it is smaller than the sum of its proper divisors (145142160).

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

56630640 is a wasteful number, since it uses less digits than its factorization.

56630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56630640 is about 7525.3332152138. Note that the first 3 decimals coincide. The cubic root of 56630640 is about 384.0170348346.

The spelling of 56630640 in words is "fifty-six million, six hundred thirty thousand, six hundred forty".