54676512 has 144 divisors (see below), whose sum is σ = 175623840. Its totient is φ = 16536960.

The previous prime is 54676511. The next prime is 54676537. The reversal of 54676512 is 21567645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54676512² = 5979041928972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54676511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104283 + ... + 104805.

It is an arithmetic number, because the mean of its divisors is an integer number (1219610).

Almost surely, 2^54676512 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 54676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87811920).

54676512 is an abundant number, since it is smaller than the sum of its proper divisors (120947328).

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

54676512 is a wasteful number, since it uses less digits than its factorization.

54676512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54676512 is about 7394.3567671570. The cubic root of 54676512 is about 379.5481980372.

The spelling of 54676512 in words is "fifty-four million, six hundred seventy-six thousand, five hundred twelve".