54420960 has 144 divisors (see below), whose sum is σ = 188628048. Its totient is φ = 13178880.

The previous prime is 54420953. The next prime is 54420979. The reversal of 54420960 is 6902445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57612 + ... + 58548.

It is an arithmetic number, because the mean of its divisors is an integer number (1309917).

Almost surely, 2^54420960 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 54420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94314024).

54420960 is an abundant number, since it is smaller than the sum of its proper divisors (134207088).

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

54420960 is a wasteful number, since it uses less digits than its factorization.

54420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 54420960 is about 7377.0563234938. The cubic root of 54420960 is about 378.9559522097.

The spelling of 54420960 in words is "fifty-four million, four hundred twenty thousand, nine hundred sixty".