56677000 has 96 divisors (see below), whose sum is σ = 140863320. Its totient is φ = 21340800.

The previous prime is 56676989. The next prime is 56677009. The reversal of 56677000 is 77665.

It can be written as a sum of positive squares in 4 ways, for example, as 11437924 + 45239076 = 3382^2 + 6726^2 .

It is not an unprimeable number, because it can be changed into a prime (56677009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360922 + ... + 361078.

Almost surely, 2^56677000 is an apocalyptic number.

56677000 is a gapful number since it is divisible by the number (50) 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 56677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70431660).

56677000 is an abundant number, since it is smaller than the sum of its proper divisors (84186320).

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

56677000 is a wasteful number, since it uses less digits than its factorization.

56677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 56677000 is about 7528.4128473404. The cubic root of 56677000 is about 384.1217965788.

The spelling of 56677000 in words is "fifty-six million, six hundred seventy-seven thousand".