17994564 has 81 divisors (see below), whose sum is σ = 53441661. Its totient is φ = 5090400.

The previous prime is 17994547. The next prime is 17994589. The reversal of 17994564 is 46549971.

17994564 = T₁₁₄₁ + T₁₁₄₂ + ... + T₁₁₆₇.

The square root of 17994564 is 4242.

It is a perfect power (a square), and thus also a powerful number.

17994564 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 705600 = 4158^2 + 840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178114 + ... + 178214.

Almost surely, 2^17994564 is an apocalyptic number.

17994564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

17994564 is the 4242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17994564

17994564 is an abundant number, since it is smaller than the sum of its proper divisors (35447097).

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

17994564 is a wasteful number, since it uses less digits than its factorization.

17994564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 17994564 is about 262.0477546346.

The spelling of 17994564 in words is "seventeen million, nine hundred ninety-four thousand, five hundred sixty-four".