54940032 has 160 divisors (see below), whose sum is σ = 187104720. Its totient is φ = 15676416.

The previous prime is 54940021. The next prime is 54940057. The reversal of 54940032 is 23004945.

It is a super-2 number, since 2×54940032² = 6036814232322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54939978 and 54940005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72198 + ... + 72954.

Almost surely, 2^54940032 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 54940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93552360).

54940032 is an abundant number, since it is smaller than the sum of its proper divisors (132164688).

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

54940032 is an equidigital number, since it uses as much as digits as its factorization.

54940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54940032 is about 7412.1543426996. The cubic root of 54940032 is about 380.1569803862.

Adding to 54940032 its reverse (23004945), we get a palindrome (77944977).

The spelling of 54940032 in words is "fifty-four million, nine hundred forty thousand, thirty-two".