54942624 has 240 divisors, whose sum is σ = 184415616. Its totient is φ = 15897600.

The previous prime is 54942619. The next prime is 54942677. The reversal of 54942624 is 42624945.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168969 + ... + 1169015.

Almost surely, 2^54942624 is an apocalyptic number.

54942624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

54942624 is an abundant number, since it is smaller than the sum of its proper divisors (129472992).

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

54942624 is a wasteful number, since it uses less digits than its factorization.

54942624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54942624 is about 7412.3291885884. The cubic root of 54942624 is about 380.1629587312.

It can be divided in two parts, 5494 and 2624, that added together give a palindrome (8118).

The spelling of 54942624 in words is "fifty-four million, nine hundred forty-two thousand, six hundred twenty-four".