13832640 has 112 divisors (see below), whose sum is σ = 48828960. Its totient is φ = 3686400.

The previous prime is 13832587. The next prime is 13832641. The reversal of 13832640 is 4623831.

It is a happy number.

13832640 is a `hidden beast` number, since 13 + 8 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13832641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7840 + ... + 9440.

Almost surely, 2^13832640 is an apocalyptic number.

13832640 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 13832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414480).

13832640 is an abundant number, since it is smaller than the sum of its proper divisors (34996320).

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

13832640 is a wasteful number, since it uses less digits than its factorization.

13832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13832640 is about 3719.2257258736. The cubic root of 13832640 is about 240.0499895869.

The spelling of 13832640 in words is "thirteen million, eight hundred thirty-two thousand, six hundred forty".