199620864 has 108 divisors (see below), whose sum is σ = 600739776. Its totient is φ = 63630336.

The previous prime is 199620857. The next prime is 199620871. The reversal of 199620864 is 468026991.

It is a happy number.

199620864 is a `hidden beast` number, since 19 + 9 + 620 + 8 + 6 + 4 = 666.

199620864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199620857) and next prime (199620871).

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, 51109 + ... + 54875.

Almost surely, 2^199620864 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 199620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300369888).

199620864 is an abundant number, since it is smaller than the sum of its proper divisors (401118912).

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

199620864 is a wasteful number, since it uses less digits than its factorization.

199620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 199620864 is about 14128.7247832209. The cubic root of 199620864 is about 584.4337804275.

The spelling of 199620864 in words is "one hundred ninety-nine million, six hundred twenty thousand, eight hundred sixty-four".