54638680 has 64 divisors (see below), whose sum is σ = 137052000. Its totient is φ = 19482624.

The previous prime is 54638671. The next prime is 54638687. The reversal of 54638680 is 8683645.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54638687) 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 15 ways as a sum of consecutive naturals, for example, 10806 + ... + 15034.

Almost surely, 2^54638680 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 54638680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68526000).

54638680 is an abundant number, since it is smaller than the sum of its proper divisors (82413320).

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

54638680 is a wasteful number, since it uses less digits than its factorization.

54638680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 54638680 is about 7391.7981574174. The cubic root of 54638680 is about 379.4606383156.

The spelling of 54638680 in words is "fifty-four million, six hundred thirty-eight thousand, six hundred eighty".