54931968 has 240 divisors, whose sum is σ = 196612416. Its totient is φ = 14376960.

The previous prime is 54931937. The next prime is 54931991. The reversal of 54931968 is 86913945.

It is a happy number.

It is a super-2 number, since 2×54931968² = 6035042216706048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419263 + ... + 419393.

Almost surely, 2^54931968 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 54931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

54931968 is an abundant number, since it is smaller than the sum of its proper divisors (141680448).

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

54931968 is a wasteful number, since it uses less digits than its factorization.

54931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 54931968 is about 7411.6103513339. The cubic root of 54931968 is about 380.1383798880.

The spelling of 54931968 in words is "fifty-four million, nine hundred thirty-one thousand, nine hundred sixty-eight".