13768032 has 48 divisors (see below), whose sum is σ = 36393840. Its totient is φ = 4557312.

The previous prime is 13768021. The next prime is 13768049. The reversal of 13768032 is 23086731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16194 + ... + 17022.

It is an arithmetic number, because the mean of its divisors is an integer number (758205).

Almost surely, 2^13768032 is an apocalyptic number.

13768032 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 13768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196920).

13768032 is an abundant number, since it is smaller than the sum of its proper divisors (22625808).

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

13768032 is a wasteful number, since it uses less digits than its factorization.

13768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13768032 is about 3710.5298812973. The cubic root of 13768032 is about 239.6756730253.

The spelling of 13768032 in words is "thirteen million, seven hundred sixty-eight thousand, thirty-two".