54656680 has 64 divisors (see below), whose sum is σ = 134038800. Its totient is φ = 19937280.

The previous prime is 54656669. The next prime is 54656681. The reversal of 54656680 is 8665645.

It can be written as a sum of positive squares in 8 ways, for example, as 17422276 + 37234404 = 4174^2 + 6102^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54656681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45690 + ... + 46870.

Almost surely, 2^54656680 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 54656680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67019400).

54656680 is an abundant number, since it is smaller than the sum of its proper divisors (79382120).

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

54656680 is a wasteful number, since it uses less digits than its factorization.

54656680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 54656680 is about 7393.0156228700. The cubic root of 54656680 is about 379.5023031922.

The spelling of 54656680 in words is "fifty-four million, six hundred fifty-six thousand, six hundred eighty".