1233792 has 160 divisors (see below), whose sum is σ = 4443120. Its totient is φ = 331776.

The previous prime is 1233781. The next prime is 1233851. The reversal of 1233792 is 2973321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72568 + ... + 72584.

2^1233792 is an apocalyptic number.

1233792 is a gapful number since it is divisible by the number (12) 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 1233792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221560).

1233792 is an abundant number, since it is smaller than the sum of its proper divisors (3209328).

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

1233792 is an equidigital number, since it uses as much as digits as its factorization.

1233792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1233792 is about 1110.7619006790. The cubic root of 1233792 is about 107.2541198476.

It can be divided in two parts, 1233 and 792, that added together give a square (2025 = 45²).

The spelling of 1233792 in words is "one million, two hundred thirty-three thousand, seven hundred ninety-two".