13342896 has 180 divisors, whose sum is σ = 45574464. Its totient is φ = 3628800.

The previous prime is 13342891. The next prime is 13342897. The reversal of 13342896 is 69824331.

13342896 = 641² + 642² + ... + 671².

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 13342896.

It is not an unprimeable number, because it can be changed into a prime (13342891) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 218706 + ... + 218766.

Almost surely, 2^13342896 is an apocalyptic number.

13342896 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 13342896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787232).

13342896 is an abundant number, since it is smaller than the sum of its proper divisors (32231568).

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

13342896 is a wasteful number, since it uses less digits than its factorization.

13342896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13342896 is about 3652.7929040667. The cubic root of 13342896 is about 237.1828957274.

The spelling of 13342896 in words is "thirteen million, three hundred forty-two thousand, eight hundred ninety-six".