18292968 has 48 divisors (see below), whose sum is σ = 51257700. Its totient is φ = 5886720.

The previous prime is 18292961. The next prime is 18292973. The reversal of 18292968 is 86929281.

It can be written as a sum of positive squares in 2 ways, for example, as 17288964 + 1004004 = 4158^2 + 1002^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (18292961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293 + ... + 6468.

Almost surely, 2^18292968 is an apocalyptic number.

18292968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18292968 is an abundant number, since it is smaller than the sum of its proper divisors (32964732).

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

18292968 is a wasteful number, since it uses less digits than its factorization.

18292968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8802 (or 8795 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 18292968 is about 4277.0279400537. The cubic root of 18292968 is about 263.4883340351.

The spelling of 18292968 in words is "eighteen million, two hundred ninety-two thousand, nine hundred sixty-eight".