196584864 has 216 divisors, whose sum is σ = 635463360. Its totient is φ = 53044992.

The previous prime is 196584859. The next prime is 196584877. The reversal of 196584864 is 468485691.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488377 + ... + 2488455.

It is an arithmetic number, because the mean of its divisors is an integer number (2941960).

Almost surely, 2^196584864 is an apocalyptic number.

196584864 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 196584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317731680).

196584864 is an abundant number, since it is smaller than the sum of its proper divisors (438878496).

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

196584864 is a wasteful number, since it uses less digits than its factorization.

196584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 196584864 is about 14020.8724407577. The cubic root of 196584864 is about 581.4557801624.

The spelling of 196584864 in words is "one hundred ninety-six million, five hundred eighty-four thousand, eight hundred sixty-four".