13922496 has 112 divisors (see below), whose sum is σ = 46817280. Its totient is φ = 3974400.

The previous prime is 13922483. The next prime is 13922509. The reversal of 13922496 is 69422931.

It is an interprime number because it is at equal distance from previous prime (13922483) and next prime (13922509).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13922496.

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, 11521 + ... + 12671.

Almost surely, 2^13922496 is an apocalyptic number.

13922496 is a gapful number since it is divisible by the number (16) 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 13922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

13922496 is an abundant number, since it is smaller than the sum of its proper divisors (32894784).

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

13922496 is a wasteful number, since it uses less digits than its factorization.

13922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13922496 is about 3731.2861053530. The cubic root of 13922496 is about 240.5686515833.

The spelling of 13922496 in words is "thirteen million, nine hundred twenty-two thousand, four hundred ninety-six".