18968904 has 80 divisors (see below), whose sum is σ = 53992620. Its totient is φ = 6220800.

The previous prime is 18968881. The next prime is 18968909. The reversal of 18968904 is 40986981.

It can be written as a sum of positive squares in 2 ways, for example, as 16402500 + 2566404 = 4050^2 + 1602^2 .

It is a super-2 number, since 2×18968904² = 719638637922432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18968904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18968909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47104 + ... + 47504.

Almost surely, 2^18968904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18968904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26996310).

18968904 is an abundant number, since it is smaller than the sum of its proper divisors (35023716).

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

18968904 is a wasteful number, since it uses less digits than its factorization.

18968904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

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

The square root of 18968904 is about 4355.3305270668. The cubic root of 18968904 is about 266.6945123700.

It can be divided in two parts, 189 and 68904, that multiplied together give a triangular number (13022856 = T₅₁₀₃).

The spelling of 18968904 in words is "eighteen million, nine hundred sixty-eight thousand, nine hundred four".