18723264 has 56 divisors (see below), whose sum is σ = 56619648. Its totient is φ = 5349120.

The previous prime is 18723253. The next prime is 18723301. The reversal of 18723264 is 46232781.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×18723264² = 701121229627392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5622 + ... + 8309.

Almost surely, 2^18723264 is an apocalyptic number.

18723264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18723264 is an abundant number, since it is smaller than the sum of its proper divisors (37896384).

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

18723264 is a wasteful number, since it uses less digits than its factorization.

18723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953 (or 13943 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 18723264 is about 4327.0387102498. The cubic root of 18723264 is about 265.5383100545.

The spelling of 18723264 in words is "eighteen million, seven hundred twenty-three thousand, two hundred sixty-four".