56066976 has 216 divisors, whose sum is σ = 193267620. Its totient is φ = 15353856.

The previous prime is 56066971. The next prime is 56066977. The reversal of 56066976 is 67966065.

It can be written as a sum of positive squares in 2 ways, for example, as 55890576 + 176400 = 7476^2 + 420^2 .

It is not an unprimeable number, because it can be changed into a prime (56066971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409180 + ... + 409316.

Almost surely, 2^56066976 is an apocalyptic number.

56066976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56066976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96633810).

56066976 is an abundant number, since it is smaller than the sum of its proper divisors (137200644).

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

56066976 is a wasteful number, since it uses less digits than its factorization.

56066976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

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

The square root of 56066976 is about 7487.7884585504. The cubic root of 56066976 is about 382.7387001681.

The spelling of 56066976 in words is "fifty-six million, sixty-six thousand, nine hundred seventy-six".