54835680 has 96 divisors (see below), whose sum is σ = 180278784. Its totient is φ = 13984256.

The previous prime is 54835673. The next prime is 54835733. The reversal of 54835680 is 8653845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8557 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (1877904).

Almost surely, 2^54835680 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 54835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90139392).

54835680 is an abundant number, since it is smaller than the sum of its proper divisors (125443104).

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

54835680 is a wasteful number, since it uses less digits than its factorization.

54835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54835680 is about 7405.1117479752. Note that the first 3 decimals coincide. The cubic root of 54835680 is about 379.9161403130.

The spelling of 54835680 in words is "fifty-four million, eight hundred thirty-five thousand, six hundred eighty".