13629990 has 64 divisors (see below), whose sum is σ = 36122112. Its totient is φ = 3264000.

The previous prime is 13629989. The next prime is 13629991. The reversal of 13629990 is 9992631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13629989) and next prime (13629991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33790 + ... + 34190.

It is an arithmetic number, because the mean of its divisors is an integer number (564408).

Almost surely, 2^13629990 is an apocalyptic number.

13629990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13629990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061056).

13629990 is an abundant number, since it is smaller than the sum of its proper divisors (22492122).

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

13629990 is a wasteful number, since it uses less digits than its factorization.

13629990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 13629990 is about 3691.8816340723. The cubic root of 13629990 is about 238.8719633062.

It can be divided in two parts, 13 and 629990, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 13629990 in words is "thirteen million, six hundred twenty-nine thousand, nine hundred ninety".