1036896768 has 160 divisors (see below), whose sum is σ = 3102390720. Its totient is φ = 341913600.

The previous prime is 1036896767. The next prime is 1036896781. The reversal of 1036896768 is 8676986301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1036896767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478818 + ... + 1479518.

It is an arithmetic number, because the mean of its divisors is an integer number (19389942).

Almost surely, 2^1036896768 is an apocalyptic number.

1036896768 is a gapful number since it is divisible by the number (18) 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 1036896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551195360).

1036896768 is an abundant number, since it is smaller than the sum of its proper divisors (2065493952).

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

1036896768 is an equidigital number, since it uses as much as digits as its factorization.

1036896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1036896768 is about 32200.8814786179. The cubic root of 1036896768 is about 1012.1506855354.

The spelling of 1036896768 in words is "one billion, thirty-six million, eight hundred ninety-six thousand, seven hundred sixty-eight".