54720960 has 224 divisors, whose sum is σ = 210677760. Its totient is φ = 11747328.

The previous prime is 54720959. The next prime is 54720961. The reversal of 54720960 is 6902745.

It is an interprime number because it is at equal distance from previous prime (54720959) and next prime (54720961).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54720961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114001 + ... + 114479.

Almost surely, 2^54720960 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 54720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

54720960 is an abundant number, since it is smaller than the sum of its proper divisors (155956800).

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

54720960 is a wasteful number, since it uses less digits than its factorization.

54720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 54720960 is about 7397.3616918466. The cubic root of 54720960 is about 379.6510184766.

The spelling of 54720960 in words is "fifty-four million, seven hundred twenty thousand, nine hundred sixty".