13804632 has 48 divisors (see below), whose sum is σ = 37752000. Its totient is φ = 4556736.

The previous prime is 13804631. The next prime is 13804657. The reversal of 13804632 is 23640831.

It is a happy number.

It is a super-4 number, since 4×13804632⁴ (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13804596 and 13804605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6969 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (786500).

Almost surely, 2^13804632 is an apocalyptic number.

13804632 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 13804632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876000).

13804632 is an abundant number, since it is smaller than the sum of its proper divisors (23947368).

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

13804632 is a wasteful number, since it uses less digits than its factorization.

13804632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1873 counting only the distinct ones).

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

The square root of 13804632 is about 3715.4585181374. The cubic root of 13804632 is about 239.8878642814.

The spelling of 13804632 in words is "thirteen million, eight hundred four thousand, six hundred thirty-two".