18604960 has 108 divisors (see below), whose sum is σ = 49922082. Its totient is φ = 6547200.

The previous prime is 18604931. The next prime is 18604967. The reversal of 18604960 is 6940681.

It can be written as a sum of positive squares in only one way, i.e., 16744464 + 1860496 = 4092^2 + 1364^2 .

It is a super-2 number, since 2×18604960² = 692289073203200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18604967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 600145 + ... + 600175.

Almost surely, 2^18604960 is an apocalyptic number.

18604960 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 18604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961041).

18604960 is an abundant number, since it is smaller than the sum of its proper divisors (31317122).

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

18604960 is a wasteful number, since it uses less digits than its factorization.

18604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 18604960 is about 4313.3467284697. The cubic root of 18604960 is about 264.9778550381.

The spelling of 18604960 in words is "eighteen million, six hundred four thousand, nine hundred sixty".