13601874 has 64 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 3739200.

The previous prime is 13601869. The next prime is 13601879. The reversal of 13601874 is 47810631.

It is a happy number.

13601874 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 (13601869) and next prime (13601879).

It is a super-3 number, since 3×13601874³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13601879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71119 + ... + 71309.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 2^13601874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13601874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

13601874 is an abundant number, since it is smaller than the sum of its proper divisors (18912174).

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

13601874 is a wasteful number, since it uses less digits than its factorization.

13601874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13601874 is about 3688.0718539638. The cubic root of 13601874 is about 238.7076015462.

The spelling of 13601874 in words is "thirteen million, six hundred one thousand, eight hundred seventy-four".