56680000 has 140 divisors (see below), whose sum is σ = 152747980. Its totient is φ = 20736000.

The previous prime is 56679941. The next prime is 56680003. The reversal of 56680000 is 8665.

It can be written as a sum of positive squares in 10 ways, for example, as 47775744 + 8904256 = 6912^2 + 2984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (56680003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519946 + ... + 520054.

It is an arithmetic number, because the mean of its divisors is an integer number (1091057).

Almost surely, 2^56680000 is an apocalyptic number.

56680000 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 56680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76373990).

56680000 is an abundant number, since it is smaller than the sum of its proper divisors (96067980).

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

56680000 is a wasteful number, since it uses less digits than its factorization.

56680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 56680000 is about 7528.6120898875. The cubic root of 56680000 is about 384.1285738433.

Adding to 56680000 its reverse (8665), we get a palindrome (56688665).

The spelling of 56680000 in words is "fifty-six million, six hundred eighty thousand".