54961872 has 80 divisors (see below), whose sum is σ = 166691712. Its totient is φ = 15275520.

The previous prime is 54961817. The next prime is 54961883. The reversal of 54961872 is 27816945.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

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, 10222 + ... + 14642.

Almost surely, 2^54961872 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 54961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83345856).

54961872 is an abundant number, since it is smaller than the sum of its proper divisors (111729840).

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

54961872 is a wasteful number, since it uses less digits than its factorization.

54961872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4470 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 54961872 is about 7413.6274521991. The cubic root of 54961872 is about 380.2073475970.

The spelling of 54961872 in words is "fifty-four million, nine hundred sixty-one thousand, eight hundred seventy-two".