18966240 has 72 divisors (see below), whose sum is σ = 64727208. Its totient is φ = 5057280.

The previous prime is 18966229. The next prime is 18966251. The reversal of 18966240 is 4266981.

It is an interprime number because it is at equal distance from previous prime (18966229) and next prime (18966251).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 18966195 and 18966204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5146 + ... + 8025.

It is an arithmetic number, because the mean of its divisors is an integer number (898989).

Almost surely, 2^18966240 is an apocalyptic number.

18966240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18966240 is an abundant number, since it is smaller than the sum of its proper divisors (45760968).

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

18966240 is a wasteful number, since it uses less digits than its factorization.

18966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18966240 is about 4355.0246842010. The cubic root of 18966240 is about 266.6820268930.

The spelling of 18966240 in words is "eighteen million, nine hundred sixty-six thousand, two hundred forty".