13990176 has 72 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 4510080.

The previous prime is 13990159. The next prime is 13990183. The reversal of 13990176 is 67109931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13990176.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8145 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 2^13990176 is an apocalyptic number.

13990176 is a gapful number since it is divisible by the number (16) 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 13990176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

13990176 is an abundant number, since it is smaller than the sum of its proper divisors (27103968).

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

13990176 is a wasteful number, since it uses less digits than its factorization.

13990176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13990176 is about 3740.3443691724. The cubic root of 13990176 is about 240.9578388509.

The spelling of 13990176 in words is "thirteen million, nine hundred ninety thousand, one hundred seventy-six".