13468900 has 27 divisors (see below), whose sum is σ = 29307369. Its totient is φ = 5372880.

The previous prime is 13468883. The next prime is 13468901. The reversal of 13468900 is 986431.

The square root of 13468900 is 3670.

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

It can be written as a sum of positive squares in only one way, i.e., 4848804 + 8620096 = 2202^2 + 2936^2 .

It is a super-2 number, since 2×13468900² = 362822534420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13468901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36517 + ... + 36883.

Almost surely, 2^13468900 is an apocalyptic number.

13468900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13468900 is the 3670-th square number.

It is an amenable number.

13468900 is an abundant number, since it is smaller than the sum of its proper divisors (15838469).

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

13468900 is an equidigital number, since it uses as much as digits as its factorization.

13468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 13468900 is about 237.9271721242.

Multiplying 13468900 by its product of nonzero digits (5184), we get a square (69822777600 = 264240²).

The spelling of 13468900 in words is "thirteen million, four hundred sixty-eight thousand, nine hundred".