13952880 has 60 divisors (see below), whose sum is σ = 46860840. Its totient is φ = 3720576.

The previous prime is 13952863. The next prime is 13952893. The reversal of 13952880 is 8825931.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8970 + ... + 10409.

It is an arithmetic number, because the mean of its divisors is an integer number (781014).

Almost surely, 2^13952880 is an apocalyptic number.

13952880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13952880 is an abundant number, since it is smaller than the sum of its proper divisors (32907960).

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

13952880 is a wasteful number, since it uses less digits than its factorization.

13952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19398 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13952880 is about 3735.3554047774. The cubic root of 13952880 is about 240.7435274833.

The spelling of 13952880 in words is "thirteen million, nine hundred fifty-two thousand, eight hundred eighty".