54877680 has 360 divisors, whose sum is σ = 223016976. Its totient is φ = 11980800.

The previous prime is 54877673. The next prime is 54877709. The reversal of 54877680 is 8677845.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338460 + ... + 1338500.

Almost surely, 2^54877680 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 54877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111508488).

54877680 is an abundant number, since it is smaller than the sum of its proper divisors (168139296).

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

54877680 is a wasteful number, since it uses less digits than its factorization.

54877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 54877680 is about 7407.9470840443. The cubic root of 54877680 is about 380.0131112743.

The spelling of 54877680 in words is "fifty-four million, eight hundred seventy-seven thousand, six hundred eighty".