193672864 has 96 divisors (see below), whose sum is σ = 481614336. Its totient is φ = 74469120.

The previous prime is 193672859. The next prime is 193672879. The reversal of 193672864 is 468276391.

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 15 ways as a sum of consecutive naturals, for example, 204039 + ... + 204985.

It is an arithmetic number, because the mean of its divisors is an integer number (5016816).

Almost surely, 2^193672864 is an apocalyptic number.

193672864 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 193672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240807168).

193672864 is an abundant number, since it is smaller than the sum of its proper divisors (287941472).

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

193672864 is a wasteful number, since it uses less digits than its factorization.

193672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 193672864 is about 13916.6398243254. The cubic root of 193672864 is about 578.5704628401.

The spelling of 193672864 in words is "one hundred ninety-three million, six hundred seventy-two thousand, eight hundred sixty-four".