56332640 has 192 divisors, whose sum is σ = 169174656. Its totient is φ = 17252352.

The previous prime is 56332631. The next prime is 56332667. The reversal of 56332640 is 4623365.

56332640 = T₃₆₃ + T₃₆₄ + ... + T₇₂₇.

It is a congruent number.

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, 771644 + ... + 771716.

It is an arithmetic number, because the mean of its divisors is an integer number (881118).

Almost surely, 2^56332640 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 56332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84587328).

56332640 is an abundant number, since it is smaller than the sum of its proper divisors (112842016).

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

56332640 is a wasteful number, since it uses less digits than its factorization.

56332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 56332640 is about 7505.5073113015. The cubic root of 56332640 is about 383.3422623419.

The spelling of 56332640 in words is "fifty-six million, three hundred thirty-two thousand, six hundred forty".