1023295680 has 560 divisors, whose sum is σ = 4120322976. Its totient is φ = 238878720.

The previous prime is 1023295667. The next prime is 1023295697. The reversal of 1023295680 is 865923201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549392 + ... + 10549488.

It is a vampire number, since it can be written as 19206 ⋅ 53280 (with its own digits).

Almost surely, 2^1023295680 is an apocalyptic number.

1023295680 is a gapful number since it is divisible by the number (10) 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 1023295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060161488).

1023295680 is an abundant number, since it is smaller than the sum of its proper divisors (3097027296).

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

1023295680 is a wasteful number, since it uses less digits than its factorization.

1023295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1023295680 is about 31988.9931070048. The cubic root of 1023295680 is about 1007.7056963941.

The spelling of 1023295680 in words is "one billion, twenty-three million, two hundred ninety-five thousand, six hundred eighty".