54814968 has 128 divisors (see below), whose sum is σ = 166689600. Its totient is φ = 16796160.

The previous prime is 54814891. The next prime is 54814973. The reversal of 54814968 is 86941845.

54814968 is a `hidden beast` number, since 548 + 1 + 49 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227328 + ... + 227568.

Almost surely, 2^54814968 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 54814968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83344800).

54814968 is an abundant number, since it is smaller than the sum of its proper divisors (111874632).

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

54814968 is a wasteful number, since it uses less digits than its factorization.

54814968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54814968 is about 7403.7131224812. The cubic root of 54814968 is about 379.8683015456.

The spelling of 54814968 in words is "fifty-four million, eight hundred fourteen thousand, nine hundred sixty-eight".