54639360 has 360 divisors, whose sum is σ = 213687936. Its totient is φ = 13271040.

The previous prime is 54639353. The next prime is 54639367. The reversal of 54639360 is 6393645.

It is an interprime number because it is at equal distance from previous prime (54639353) and next prime (54639367).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×54639360² = 5970919322419200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54639367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762545 + ... + 1762575.

Almost surely, 2^54639360 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 54639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

54639360 is an abundant number, since it is smaller than the sum of its proper divisors (159048576).

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

54639360 is a wasteful number, since it uses less digits than its factorization.

54639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 54639360 is about 7391.8441542013. The cubic root of 54639360 is about 379.4622124884.

The spelling of 54639360 in words is "fifty-four million, six hundred thirty-nine thousand, three hundred sixty".