193860864 has 90 divisors (see below), whose sum is σ = 578119850. Its totient is φ = 64613376.

The previous prime is 193860841. The next prime is 193860883. The reversal of 193860864 is 468068391.

193860864 is a `hidden beast` number, since 1 + 9 + 38 + 608 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 6718464 = 13680^2 + 2592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16062 + ... + 25410.

Almost surely, 2^193860864 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 193860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289059925).

193860864 is an abundant number, since it is smaller than the sum of its proper divisors (384258986).

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

193860864 is an frugal number, since it uses more digits than its factorization.

193860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 193860864 is about 13923.3926900020. The cubic root of 193860864 is about 578.7576101576.

The spelling of 193860864 in words is "one hundred ninety-three million, eight hundred sixty thousand, eight hundred sixty-four".