54811680 has 192 divisors, whose sum is σ = 215405568. Its totient is φ = 11381760.

The previous prime is 54811663. The next prime is 54811697. The reversal of 54811680 is 8611845.

It is an interprime number because it is at equal distance from previous prime (54811663) and next prime (54811697).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36219 + ... + 37701.

It is an arithmetic number, because the mean of its divisors is an integer number (1121904).

Almost surely, 2^54811680 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 54811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702784).

54811680 is an abundant number, since it is smaller than the sum of its proper divisors (160593888).

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

54811680 is a wasteful number, since it uses less digits than its factorization.

54811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 54811680 is about 7403.4910684082. The cubic root of 54811680 is about 379.8607061023.

The spelling of 54811680 in words is "fifty-four million, eight hundred eleven thousand, six hundred eighty".