13906404 has 84 divisors (see below), whose sum is σ = 38561040. Its totient is φ = 4374000.

The previous prime is 13906397. The next prime is 13906439. The reversal of 13906404 is 40460931.

13906404 is a `hidden beast` number, since 13 + 9 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×13906404² = 386776144422432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55279 + ... + 55529.

It is an arithmetic number, because the mean of its divisors is an integer number (459060).

Almost surely, 2^13906404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280520).

13906404 is an abundant number, since it is smaller than the sum of its proper divisors (24654636).

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

13906404 is a wasteful number, since it uses less digits than its factorization.

13906404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13906404 is about 3729.1291208538. The cubic root of 13906404 is about 240.4759305848.

The spelling of 13906404 in words is "thirteen million, nine hundred six thousand, four hundred four".