13987600 has 135 divisors (see below), whose sum is σ = 39238591. Its totient is φ = 4787200.

The previous prime is 13987579. The next prime is 13987613. The reversal of 13987600 is 678931.

The square root of 13987600 is 3740.

It is a perfect power (a square), and thus also a powerful number.

13987600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 327184 + 13660416 = 572^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 822792 + ... + 822808.

Almost surely, 2^13987600 is an apocalyptic number.

13987600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13987600 is the 3740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13987600

13987600 is an abundant number, since it is smaller than the sum of its proper divisors (25250991).

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

13987600 is a wasteful number, since it uses less digits than its factorization.

13987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 13987600 is about 240.9430488179.

It can be divided in two parts, 1398 and 7600, that added together give a palindrome (8998).

The spelling of 13987600 in words is "thirteen million, nine hundred eighty-seven thousand, six hundred".