54088320 has 256 divisors, whose sum is σ = 203575680. Its totient is φ = 12042240.

The previous prime is 54088319. The next prime is 54088327. The reversal of 54088320 is 2388045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088327) 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, 274462 + ... + 274658.

Almost surely, 2^54088320 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 54088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

54088320 is an abundant number, since it is smaller than the sum of its proper divisors (149487360).

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

54088320 is a wasteful number, since it uses less digits than its factorization.

54088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54088320 is about 7354.4761880096. The cubic root of 54088320 is about 378.1822698130.

The spelling of 54088320 in words is "fifty-four million, eighty-eight thousand, three hundred twenty".