199962864 has 80 divisors (see below), whose sum is σ = 575831200. Its totient is φ = 66438144.

The previous prime is 199962839. The next prime is 199962877. The reversal of 199962864 is 468269991.

199962864 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 628 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 199962864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186522 + ... + 187590.

It is an arithmetic number, because the mean of its divisors is an integer number (7197890).

Almost surely, 2^199962864 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 199962864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287915600).

199962864 is an abundant number, since it is smaller than the sum of its proper divisors (375868336).

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

199962864 is a wasteful number, since it uses less digits than its factorization.

199962864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1507 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 199962864 is about 14140.8226069066. The cubic root of 199962864 is about 584.7673499612.

The spelling of 199962864 in words is "one hundred ninety-nine million, nine hundred sixty-two thousand, eight hundred sixty-four".