56669760 has 224 divisors, whose sum is σ = 228721920. Its totient is φ = 12939264.

The previous prime is 56669759. The next prime is 56669779. The reversal of 56669760 is 6796665.

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

It is a super-2 number, since 2×56669760² = 6422923396915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60012 + ... + 60948.

It is an arithmetic number, because the mean of its divisors is an integer number (1021080).

Almost surely, 2^56669760 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 56669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114360960).

56669760 is an abundant number, since it is smaller than the sum of its proper divisors (172052160).

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

56669760 is a wasteful number, since it uses less digits than its factorization.

56669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 56669760 is about 7527.9319869404. The cubic root of 56669760 is about 384.1054397954.

The spelling of 56669760 in words is "fifty-six million, six hundred sixty-nine thousand, seven hundred sixty".