18904900 has 72 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 6397440.

The previous prime is 18904889. The next prime is 18904909. The reversal of 18904900 is 940981.

18904900 = 876² + 877² + ... + 899².

It is not an unprimeable number, because it can be changed into a prime (18904909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78981 + ... + 79219.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 2^18904900 is an apocalyptic number.

18904900 is a gapful number since it is divisible by the number (10) 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 18904900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

18904900 is an abundant number, since it is smaller than the sum of its proper divisors (28592060).

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

18904900 is a wasteful number, since it uses less digits than its factorization.

18904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 18904900 is about 4347.9765408751. The cubic root of 18904900 is about 266.3942182671.

It can be divided in two parts, 1890 and 4900, that multiplied together give a cube (9261000 = 210³).

The spelling of 18904900 in words is "eighteen million, nine hundred four thousand, nine hundred".