54167680 has 128 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 18235392.

The previous prime is 54167657. The next prime is 54167699. The reversal of 54167680 is 8676145.

It is a tau number, because it is divible by the number of its divisors (128).

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, 479304 + ... + 479416.

It is an arithmetic number, because the mean of its divisors is an integer number (1177335).

Almost surely, 2^54167680 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 54167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75349440).

54167680 is an abundant number, since it is smaller than the sum of its proper divisors (96531200).

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

54167680 is a wasteful number, since it uses less digits than its factorization.

54167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 54167680 is about 7359.8695640616. The cubic root of 54167680 is about 378.3671395375.

The spelling of 54167680 in words is "fifty-four million, one hundred sixty-seven thousand, six hundred eighty".