192800256 has 80 divisors (see below), whose sum is σ = 560374848. Its totient is φ = 58419200.

The previous prime is 192800249. The next prime is 192800263. The reversal of 192800256 is 652008291.

192800256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (192800249) and next prime (192800263).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11191 + ... + 22601.

Almost surely, 2^192800256 is an apocalyptic number.

192800256 is a gapful number since it is divisible by the number (16) 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 192800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280187424).

192800256 is an abundant number, since it is smaller than the sum of its proper divisors (367574592).

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

192800256 is a wasteful number, since it uses less digits than its factorization.

192800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11443 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 192800256 is about 13885.2531845840. The cubic root of 192800256 is about 577.7002232963.

The spelling of 192800256 in words is "one hundred ninety-two million, eight hundred thousand, two hundred fifty-six".