13998642 has 32 divisors (see below), whose sum is σ = 32409600. Its totient is φ = 3948048.

The previous prime is 13998631. The next prime is 13998653. The reversal of 13998642 is 24689931.

13998642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13998631) and next prime (13998653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13998594 and 13998603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209 + ... + 5427.

It is an arithmetic number, because the mean of its divisors is an integer number (1012800).

Almost surely, 2^13998642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13998642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204800).

13998642 is an abundant number, since it is smaller than the sum of its proper divisors (18410958).

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

13998642 is a wasteful number, since it uses less digits than its factorization.

13998642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310.

The product of its digits is 93312, while the sum is 42.

The square root of 13998642 is about 3741.4759119898. The cubic root of 13998642 is about 241.0064333722.

The spelling of 13998642 in words is "thirteen million, nine hundred ninety-eight thousand, six hundred forty-two".