56665440 has 192 divisors, whose sum is σ = 213796800. Its totient is φ = 13934592.

The previous prime is 56665423. The next prime is 56665487. The reversal of 56665440 is 4456665.

It is a happy number.

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 = 56665395 and 56665404.

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, 55656 + ... + 56664.

It is an arithmetic number, because the mean of its divisors is an integer number (1113525).

Almost surely, 2^56665440 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 56665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106898400).

56665440 is an abundant number, since it is smaller than the sum of its proper divisors (157131360).

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

56665440 is a wasteful number, since it uses less digits than its factorization.

56665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56665440 is about 7527.6450500804. The cubic root of 56665440 is about 384.0956792831.

The spelling of 56665440 in words is "fifty-six million, six hundred sixty-five thousand, four hundred forty".