13192416 has 48 divisors (see below), whose sum is σ = 38480400. Its totient is φ = 4397184.

The previous prime is 13192397. The next prime is 13192423. The reversal of 13192416 is 61429131.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 13192416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6771 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (801675).

Almost surely, 2^13192416 is an apocalyptic number.

13192416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13192416 is an abundant number, since it is smaller than the sum of its proper divisors (25287984).

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

13192416 is a wasteful number, since it uses less digits than its factorization.

13192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15288 (or 15274 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13192416 is about 3632.1365613093. The cubic root of 13192416 is about 236.2878800434.

The spelling of 13192416 in words is "thirteen million, one hundred ninety-two thousand, four hundred sixteen".