54876864 has 168 divisors, whose sum is σ = 178368960. Its totient is φ = 14805504.

The previous prime is 54876853. The next prime is 54876893. The reversal of 54876864 is 46867845.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×54876864² = 6022940404948992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 178599 + ... + 178905.

It is an arithmetic number, because the mean of its divisors is an integer number (1061720).

Almost surely, 2^54876864 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 54876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184480).

54876864 is an abundant number, since it is smaller than the sum of its proper divisors (123492096).

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

54876864 is a wasteful number, since it uses less digits than its factorization.

54876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 54876864 is about 7407.8920078522. The cubic root of 54876864 is about 380.0112277384.

The spelling of 54876864 in words is "fifty-four million, eight hundred seventy-six thousand, eight hundred sixty-four".