192864 has 72 divisors (see below), whose sum is σ = 603288. Its totient is φ = 53760.

The previous prime is 192859. The next prime is 192877. The reversal of 192864 is 468291.

192864 = T₇ + T₈ + ... + T₁₀₄.

192864 is a modest number, since divided by 864 gives 192 as remainder.

It is a congruent number.

It is an unprimeable number.

192864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4684 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁹²⁸⁶⁴ is an apocalyptic number.

192864 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 192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

192864 is an abundant number, since it is smaller than the sum of its proper divisors (410424).

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

192864 is a wasteful number, since it uses less digits than its factorization.

192864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 192864 is about 439.1628399580. The cubic root of 192864 is about 57.7763883076.

The spelling of 192864 in words is "one hundred ninety-two thousand, eight hundred sixty-four".