13629850 has 36 divisors (see below), whose sum is σ = 27468666. Its totient is φ = 5029440.

The previous prime is 13629841. The next prime is 13629857. The reversal of 13629850 is 5892631.

It can be written as a sum of positive squares in 9 ways, for example, as 80089 + 13549761 = 283^2 + 3681^2 .

It is a super-2 number, since 2×13629850² = 371545622045000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13629857) 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, 7644 + ... + 9256.

Almost surely, 2^13629850 is an apocalyptic number.

13629850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13629850 is an abundant number, since it is smaller than the sum of its proper divisors (13838816).

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

13629850 is a wasteful number, since it uses less digits than its factorization.

13629850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 13629850 is about 3691.8626735024. The cubic root of 13629850 is about 238.8711454482.

The spelling of 13629850 in words is "thirteen million, six hundred twenty-nine thousand, eight hundred fifty".