54736560 has 100 divisors (see below), whose sum is σ = 190130688. Its totient is φ = 14594688.

The previous prime is 54736553. The next prime is 54736567. The reversal of 54736560 is 6563745.

It is an interprime number because it is at equal distance from previous prime (54736553) and next prime (54736567).

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 (54736567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2257 + ... + 10703.

Almost surely, 2^54736560 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 54736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95065344).

54736560 is an abundant number, since it is smaller than the sum of its proper divisors (135394128).

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

54736560 is a wasteful number, since it uses less digits than its factorization.

54736560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 54736560 is about 7398.4160466954. The cubic root of 54736560 is about 379.6870923635.

The spelling of 54736560 in words is "fifty-four million, seven hundred thirty-six thousand, five hundred sixty".