54497664 has 128 divisors (see below), whose sum is σ = 173359200. Its totient is φ = 16754688.

The previous prime is 54497647. The next prime is 54497687. The reversal of 54497664 is 46679445.

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

It is a congruent number.

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, 44322 + ... + 45534.

Almost surely, 2^54497664 is an apocalyptic number.

54497664 is a gapful number since it is divisible by the number (54) 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 54497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86679600).

54497664 is an abundant number, since it is smaller than the sum of its proper divisors (118861536).

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

54497664 is a wasteful number, since it uses less digits than its factorization.

54497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1231 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 54497664 is about 7382.2533145375. The cubic root of 54497664 is about 379.1339093278.

It can be divided in two parts, 54 and 497664, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 54497664 in words is "fifty-four million, four hundred ninety-seven thousand, six hundred sixty-four".