56679000 has 128 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 12950400.

The previous prime is 56678989. The next prime is 56679001. The reversal of 56679000 is 97665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56679001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19651 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^56679000 is an apocalyptic number.

56679000 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 56679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

56679000 is an abundant number, since it is smaller than the sum of its proper divisors (145497000).

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

56679000 is a wasteful number, since it uses less digits than its factorization.

56679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 56679000 is about 7528.5456762910. The cubic root of 56679000 is about 384.1263147817.

The spelling of 56679000 in words is "fifty-six million, six hundred seventy-nine thousand".