54959040 has 112 divisors (see below), whose sum is σ = 193913760. Its totient is φ = 14653440.

The previous prime is 54958997. The next prime is 54959053. The reversal of 54959040 is 4095945.

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

It is a junction number, because it is equal to n+sod(n) for n = 54958986 and 54959004.

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, 5460 + ... + 11820.

Almost surely, 2^54959040 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 54959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96956880).

54959040 is an abundant number, since it is smaller than the sum of its proper divisors (138954720).

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

54959040 is a wasteful number, since it uses less digits than its factorization.

54959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54959040 is about 7413.4364501222. The cubic root of 54959040 is about 380.2008172172.

It can be divided in two parts, 5495 and 9040, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 54959040 in words is "fifty-four million, nine hundred fifty-nine thousand, forty".