54666000 has 120 divisors (see below), whose sum is σ = 190992984. Its totient is φ = 14572800.

The previous prime is 54665993. The next prime is 54666011. The reversal of 54666000 is 66645.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 54641664 = 156^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16482 + ... + 19518.

Almost surely, 2^54666000 is an apocalyptic number.

54666000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95496492).

54666000 is an abundant number, since it is smaller than the sum of its proper divisors (136326984).

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

54666000 is a wasteful number, since it uses less digits than its factorization.

54666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54666000 is about 7393.6459206538. The cubic root of 54666000 is about 379.5238727451.

The spelling of 54666000 in words is "fifty-four million, six hundred sixty-six thousand".