13193856 has 96 divisors (see below), whose sum is σ = 40933620. Its totient is φ = 4055040.

The previous prime is 13193837. The next prime is 13193861. The reversal of 13193856 is 65839131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 1742400 = 3384^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13193856² = 348155672297472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13193856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14536 + ... + 15416.

Almost surely, 2^13193856 is an apocalyptic number.

13193856 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 13193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466810).

13193856 is an abundant number, since it is smaller than the sum of its proper divisors (27739764).

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

13193856 is a wasteful number, since it uses less digits than its factorization.

13193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13193856 is about 3632.3347863323. The cubic root of 13193856 is about 236.2964769567.

The spelling of 13193856 in words is "thirteen million, one hundred ninety-three thousand, eight hundred fifty-six".