193536864 has 72 divisors (see below), whose sum is σ = 570777480. Its totient is φ = 64509696.

The previous prime is 193536859. The next prime is 193536877. The reversal of 193536864 is 468635391.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4669 + ... + 20220.

It is an arithmetic number, because the mean of its divisors is an integer number (7927465).

Almost surely, 2^193536864 is an apocalyptic number.

It is an amenable number.

193536864 is an abundant number, since it is smaller than the sum of its proper divisors (377240616).

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

193536864 is an equidigital number, since it uses as much as digits as its factorization.

193536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24894 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 193536864 is about 13911.7527292574. The cubic root of 193536864 is about 578.4350041659.

The spelling of 193536864 in words is "one hundred ninety-three million, five hundred thirty-six thousand, eight hundred sixty-four".