54777984 has 64 divisors (see below), whose sum is σ = 150552000. Its totient is φ = 17626112.

The previous prime is 54777979. The next prime is 54777997. The reversal of 54777984 is 48977745.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×54777984² = 6001255062208512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8677 + ... + 13595.

It is an arithmetic number, because the mean of its divisors is an integer number (2352375).

Almost surely, 2^54777984 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 54777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75276000).

54777984 is an abundant number, since it is smaller than the sum of its proper divisors (95774016).

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

54777984 is a wasteful number, since it uses less digits than its factorization.

54777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4953 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 54777984 is about 7401.2150353844. The cubic root of 54777984 is about 379.7828491554.

The spelling of 54777984 in words is "fifty-four million, seven hundred seventy-seven thousand, nine hundred eighty-four".