54209664 has 48 divisors (see below), whose sum is σ = 155997270. Its totient is φ = 18069504.

The previous prime is 54209653. The next prime is 54209693. The reversal of 54209664 is 46690245.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 627264 = 7320^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 22377 + ... + 24680.

Almost surely, 2^54209664 is an apocalyptic number.

It is an amenable number.

54209664 is an abundant number, since it is smaller than the sum of its proper divisors (101787606).

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

54209664 is a wasteful number, since it uses less digits than its factorization.

54209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47077 (or 47062 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 54209664 is about 7362.7212360648. The cubic root of 54209664 is about 378.4648685623.

The spelling of 54209664 in words is "fifty-four million, two hundred nine thousand, six hundred sixty-four".