13249920 has 128 divisors (see below), whose sum is σ = 43280640. Its totient is φ = 3446784.

The previous prime is 13249903. The next prime is 13249933. The reversal of 13249920 is 2994231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128589 + ... + 128691.

It is an arithmetic number, because the mean of its divisors is an integer number (338130).

Almost surely, 2^13249920 is an apocalyptic number.

13249920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640320).

13249920 is an abundant number, since it is smaller than the sum of its proper divisors (30030720).

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

13249920 is a wasteful number, since it uses less digits than its factorization.

13249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13249920 is about 3640.0439557786. The cubic root of 13249920 is about 236.6306983184.

The spelling of 13249920 in words is "thirteen million, two hundred forty-nine thousand, nine hundred twenty".