883104768 has 462 divisors, whose sum is σ = 3275511144. Its totient is φ = 232906752.

The previous prime is 883104767. The next prime is 883104769. The reversal of 883104768 is 867401388.

It is an interprime number because it is at equal distance from previous prime (883104767) and next prime (883104769).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (883104767) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 67931130 + ... + 67931142.

Almost surely, 2^883104768 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 883104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637755572).

883104768 is an abundant number, since it is smaller than the sum of its proper divisors (2392406376).

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

883104768 is an equidigital number, since it uses as much as digits as its factorization.

883104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 883104768 is about 29717.0787258775. The cubic root of 883104768 is about 959.4096370240.

Multiplying 883104768 by its product of nonzero digits (258048), we get a square (227883419172864 = 15095808²).

The spelling of 883104768 in words is "eight hundred eighty-three million, one hundred four thousand, seven hundred sixty-eight".