13790952 has 96 divisors (see below), whose sum is σ = 44596800. Its totient is φ = 3937248.

The previous prime is 13790923. The next prime is 13790957. The reversal of 13790952 is 25909731.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13790957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9933 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (464550).

Almost surely, 2^13790952 is an apocalyptic number.

13790952 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 13790952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298400).

13790952 is an abundant number, since it is smaller than the sum of its proper divisors (30805848).

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

13790952 is a wasteful number, since it uses less digits than its factorization.

13790952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13790952 is about 3713.6171046569. The cubic root of 13790952 is about 239.8085973949.

The spelling of 13790952 in words is "thirteen million, seven hundred ninety thousand, nine hundred fifty-two".