213096096 has 120 divisors (see below), whose sum is σ = 659846880. Its totient is φ = 67277952.

The previous prime is 213096067. The next prime is 213096131. The reversal of 213096096 is 690690312.

It is a super-2 number, since 2×213096096² = 90819892260882432, 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 213096096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47085 + ... + 51411.

It is an arithmetic number, because the mean of its divisors is an integer number (5498724).

Almost surely, 2^213096096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213096096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329923440).

213096096 is an abundant number, since it is smaller than the sum of its proper divisors (446750784).

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

213096096 is a wasteful number, since it uses less digits than its factorization.

213096096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 213096096 is about 14597.8113428007. The cubic root of 213096096 is about 597.2990597806.

The spelling of 213096096 in words is "two hundred thirteen million, ninety-six thousand, ninety-six".