13978692 has 144 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 3456000.

The previous prime is 13978691. The next prime is 13978721. The reversal of 13978692 is 29687931.

It is not an unprimeable number, because it can be changed into a prime (13978691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55567 + ... + 55817.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^13978692 is an apocalyptic number.

13978692 is a gapful number since it is divisible by the number (12) 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 13978692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

13978692 is an abundant number, since it is smaller than the sum of its proper divisors (32252220).

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

13978692 is a wasteful number, since it uses less digits than its factorization.

13978692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13978692 is about 3738.8089012411. The cubic root of 13978692 is about 240.8918897802.

Subtracting from 13978692 its product of digits (163296), we obtain a triangular number (13815396 = T₅₂₅₆).

The spelling of 13978692 in words is "thirteen million, nine hundred seventy-eight thousand, six hundred ninety-two".