196290864 has 300 divisors, whose sum is σ = 723522888. Its totient is φ = 50803200.

The previous prime is 196290859. The next prime is 196290893. The reversal of 196290864 is 468092691.

It is a happy number.

196290864 is a `hidden beast` number, since 19 + 629 + 0 + 8 + 6 + 4 = 666.

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 59 ways as a sum of consecutive naturals, for example, 698404 + ... + 698684.

Almost surely, 2^196290864 is an apocalyptic number.

196290864 is a gapful number since it is divisible by the number (14) 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 196290864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361761444).

196290864 is an abundant number, since it is smaller than the sum of its proper divisors (527232024).

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

196290864 is a wasteful number, since it uses less digits than its factorization.

196290864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

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

The square root of 196290864 is about 14010.3841489090. The cubic root of 196290864 is about 581.1657726029.

The spelling of 196290864 in words is "one hundred ninety-six million, two hundred ninety thousand, eight hundred sixty-four".