54200664 has 144 divisors (see below), whose sum is σ = 177395400. Its totient is φ = 15458688.

The previous prime is 54200651. The next prime is 54200717. The reversal of 54200664 is 46600245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94972 + ... + 95540.

Almost surely, 2^54200664 is an apocalyptic number.

54200664 is a gapful number since it is divisible by the number (54) 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 54200664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88697700).

54200664 is an abundant number, since it is smaller than the sum of its proper divisors (123194736).

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

54200664 is a wasteful number, since it uses less digits than its factorization.

54200664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54200664 is about 7362.1100236277. The cubic root of 54200664 is about 378.4439228977.

The spelling of 54200664 in words is "fifty-four million, two hundred thousand, six hundred sixty-four".