56562240 has 224 divisors, whose sum is σ = 216529920. Its totient is φ = 12220416.

The previous prime is 56562229. The next prime is 56562251. The reversal of 56562240 is 4226565.

It is an interprime number because it is at equal distance from previous prime (56562229) and next prime (56562251).

It is a tau number, because it is divible by the number of its divisors (224).

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 = 56562198 and 56562207.

It is an unprimeable number.

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, 127459 + ... + 127901.

Almost surely, 2^56562240 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 56562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

56562240 is an abundant number, since it is smaller than the sum of its proper divisors (159967680).

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

56562240 is a wasteful number, since it uses less digits than its factorization.

56562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56562240 is about 7520.7871928409. The cubic root of 56562240 is about 383.8623638678.

The spelling of 56562240 in words is "fifty-six million, five hundred sixty-two thousand, two hundred forty".