1032860160 has 400 divisors, whose sum is σ = 3930357816. Its totient is φ = 258342912.

The previous prime is 1032860117. The next prime is 1032860161. The reversal of 1032860160 is 610682301.

It can be written as a sum of positive squares in 4 ways, for example, as 1031180544 + 1679616 = 32112^2 + 1296^2 .

It is a super-2 number, since 2×1032860160² = 2133600220230451200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1032860161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3524974 + ... + 3525266.

Almost surely, 2^1032860160 is an apocalyptic number.

1032860160 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 1032860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965178908).

1032860160 is an abundant number, since it is smaller than the sum of its proper divisors (2897497656).

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

1032860160 is an equidigital number, since it uses as much as digits as its factorization.

1032860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1032860160 is about 32138.1418255630. The cubic root of 1032860160 is about 1010.8355533849.

The spelling of 1032860160 in words is "one billion, thirty-two million, eight hundred sixty thousand, one hundred sixty".