13629400 has 24 divisors (see below), whose sum is σ = 31688820. Its totient is φ = 5451680.

The previous prime is 13629397. The next prime is 13629401. The reversal of 13629400 is 492631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33874 + ... + 34273.

Almost surely, 2^13629400 is an apocalyptic number.

13629400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629400 is an abundant number, since it is smaller than the sum of its proper divisors (18059420).

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

13629400 is a wasteful number, since it uses less digits than its factorization.

13629400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68163 (or 68154 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13629400 is about 3691.8017281539. The cubic root of 13629400 is about 238.8685165809.

The spelling of 13629400 in words is "thirteen million, six hundred twenty-nine thousand, four hundred".