13970880 has 420 divisors, whose sum is σ = 63066168. Its totient is φ = 2903040.

The previous prime is 13970851. The next prime is 13970881. The reversal of 13970880 is 8807931.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270075 + ... + 1270085.

Almost surely, 2^13970880 is an apocalyptic number.

13970880 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 13970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533084).

13970880 is an abundant number, since it is smaller than the sum of its proper divisors (49095288).

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

13970880 is a wasteful number, since it uses less digits than its factorization.

13970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13970880 is about 3737.7640374962. The cubic root of 13970880 is about 240.8470072283.

The spelling of 13970880 in words is "thirteen million, nine hundred seventy thousand, eight hundred eighty".