54656640 has 128 divisors (see below), whose sum is σ = 193636800. Its totient is φ = 14570496.

The previous prime is 54656611. The next prime is 54656653. The reversal of 54656640 is 4665645.

It is a happy number.

54656640 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54656595 and 54656604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15699 + ... + 18861.

Almost surely, 2^54656640 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 54656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96818400).

54656640 is an abundant number, since it is smaller than the sum of its proper divisors (138980160).

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

54656640 is a wasteful number, since it uses less digits than its factorization.

54656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 54656640 is about 7393.0129176135. The cubic root of 54656640 is about 379.5022106138.

The spelling of 54656640 in words is "fifty-four million, six hundred fifty-six thousand, six hundred forty".