13200096 has 96 divisors (see below), whose sum is σ = 42674688. Its totient is φ = 3479040.

The previous prime is 13200001. The next prime is 13200101. The reversal of 13200096 is 69000231.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7981 + ... + 9491.

It is an arithmetic number, because the mean of its divisors is an integer number (444528).

Almost surely, 2^13200096 is an apocalyptic number.

13200096 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 13200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

13200096 is an abundant number, since it is smaller than the sum of its proper divisors (29474592).

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

13200096 is a wasteful number, since it uses less digits than its factorization.

13200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13200096 is about 3633.1936364582. The cubic root of 13200096 is about 236.3337230210. Note that the first 3 decimals are identical.

The spelling of 13200096 in words is "thirteen million, two hundred thousand, ninety-six".