56632440 has 192 divisors, whose sum is σ = 190978560. Its totient is φ = 13404160.

The previous prime is 56632409. The next prime is 56632453. The reversal of 56632440 is 4423665.

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 = 56632398 and 56632407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797605 + ... + 797675.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 2^56632440 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 56632440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95489280).

56632440 is an abundant number, since it is smaller than the sum of its proper divisors (134346120).

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

56632440 is a wasteful number, since it uses less digits than its factorization.

56632440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 56632440 is about 7525.4528102965. The cubic root of 56632440 is about 384.0211034409.

The spelling of 56632440 in words is "fifty-six million, six hundred thirty-two thousand, four hundred forty".