54174960 has 160 divisors (see below), whose sum is σ = 213319680. Its totient is φ = 12379392.

The previous prime is 54174943. The next prime is 54174977. The reversal of 54174960 is 6947145.

54174960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54174943) and next prime (54174977).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13329 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (1333248).

Almost surely, 2^54174960 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 54174960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106659840).

54174960 is an abundant number, since it is smaller than the sum of its proper divisors (159144720).

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

54174960 is a wasteful number, since it uses less digits than its factorization.

54174960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54174960 is about 7360.3641214277. The cubic root of 54174960 is about 378.3840893089.

The spelling of 54174960 in words is "fifty-four million, one hundred seventy-four thousand, nine hundred sixty".