13696032 has 96 divisors (see below), whose sum is σ = 41731200. Its totient is φ = 3852288.

The previous prime is 13696021. The next prime is 13696043. The reversal of 13696032 is 23069631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13696021) and next prime (13696043).

It is a tau number, because it is divible by the number of its divisors (96).

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, 59694 + ... + 59922.

It is an arithmetic number, because the mean of its divisors is an integer number (434700).

Almost surely, 2^13696032 is an apocalyptic number.

13696032 is a gapful number since it is divisible by the number (12) 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 13696032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).

13696032 is an abundant number, since it is smaller than the sum of its proper divisors (28035168).

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

13696032 is a wasteful number, since it uses less digits than its factorization.

13696032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13696032 is about 3700.8150453650. The cubic root of 13696032 is about 239.2571475259.

The spelling of 13696032 in words is "thirteen million, six hundred ninety-six thousand, thirty-two".