13980600 has 120 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 3723840.

The previous prime is 13980583. The next prime is 13980607. The reversal of 13980600 is 608931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13980607) 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 29 ways as a sum of consecutive naturals, for example, 15769 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^13980600 is an apocalyptic number.

13980600 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 13980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13980600 is an abundant number, since it is smaller than the sum of its proper divisors (34632360).

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

13980600 is a wasteful number, since it uses less digits than its factorization.

13980600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13980600 is about 3739.0640540114. The cubic root of 13980600 is about 240.9028493372.

The spelling of 13980600 in words is "thirteen million, nine hundred eighty thousand, six hundred".