54663680 has 80 divisors (see below), whose sum is σ = 132875424. Its totient is φ = 21565440.

The previous prime is 54663673. The next prime is 54663683. The reversal of 54663680 is 8636645.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×54663680² = 5976235822284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54663683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335279 + ... + 335441.

Almost surely, 2^54663680 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 54663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437712).

54663680 is an abundant number, since it is smaller than the sum of its proper divisors (78211744).

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

54663680 is a wasteful number, since it uses less digits than its factorization.

54663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 54663680 is about 7393.4890275160. The cubic root of 54663680 is about 379.5185037294.

The spelling of 54663680 in words is "fifty-four million, six hundred sixty-three thousand, six hundred eighty".