815200668 has 36 divisors (see below), whose sum is σ = 2061579520. Its totient is φ = 271610496.

The previous prime is 815200649. The next prime is 815200669. The reversal of 815200668 is 866002518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815200669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112293 + ... + 119331.

Almost surely, 2^815200668 is an apocalyptic number.

It is an amenable number.

815200668 is an abundant number, since it is smaller than the sum of its proper divisors (1246378852).

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

815200668 is a wasteful number, since it uses less digits than its factorization.

815200668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 815200668 is about 28551.7191776607. The cubic root of 815200668 is about 934.1605200162.

The spelling of 815200668 in words is "eight hundred fifteen million, two hundred thousand, six hundred sixty-eight".