13961880 has 48 divisors (see below), whose sum is σ = 45377280. Its totient is φ = 3723072.

The previous prime is 13961861. The next prime is 13961887. The reversal of 13961880 is 8816931.

13961880 is a `hidden beast` number, since 1 + 39 + 618 + 8 + 0 = 666.

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 (13961887) 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, 19032 + ... + 19751.

It is an arithmetic number, because the mean of its divisors is an integer number (945360).

Almost surely, 2^13961880 is an apocalyptic number.

13961880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13961880 is an abundant number, since it is smaller than the sum of its proper divisors (31415400).

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

13961880 is a wasteful number, since it uses less digits than its factorization.

13961880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38800 (or 38793 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13961880 is about 3736.5599152161. The cubic root of 13961880 is about 240.7952784731.

It can be divided in two parts, 13961 and 880, that added together give a palindrome (14841).

The spelling of 13961880 in words is "thirteen million, nine hundred sixty-one thousand, eight hundred eighty".