54875968 has 56 divisors (see below), whose sum is σ = 125163072. Its totient is φ = 23384064.

The previous prime is 54875963. The next prime is 54875969. The reversal of 54875968 is 86957845.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×54875968² = 6022743727874048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54875963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 155280 + ... + 155632.

Almost surely, 2^54875968 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 54875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62581536).

54875968 is an abundant number, since it is smaller than the sum of its proper divisors (70287104).

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

54875968 is a wasteful number, since it uses less digits than its factorization.

54875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 54875968 is about 7407.8315315617. The cubic root of 54875968 is about 380.0091595207.

The spelling of 54875968 in words is "fifty-four million, eight hundred seventy-five thousand, nine hundred sixty-eight".