54955968 has 112 divisors (see below), whose sum is σ = 156362400. Its totient is φ = 16973824.

The previous prime is 54955931. The next prime is 54955973. The reversal of 54955968 is 86955945.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 54955968.

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, 368758 + ... + 368906.

Almost surely, 2^54955968 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 54955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78181200).

54955968 is an abundant number, since it is smaller than the sum of its proper divisors (101406432).

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

54955968 is a wasteful number, since it uses less digits than its factorization.

54955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 51.

The square root of 54955968 is about 7413.2292558641. The cubic root of 54955968 is about 380.1937331617.

The spelling of 54955968 in words is "fifty-four million, nine hundred fifty-five thousand, nine hundred sixty-eight".