1085507160 has 96 divisors (see below), whose sum is σ = 3365316720. Its totient is φ = 280101120.

The previous prime is 1085507141. The next prime is 1085507161. The reversal of 1085507160 is 617055801.

It is a super-2 number, since 2×1085507160² = 2356651588822531200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085507161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110614 + ... + 120026.

Almost surely, 2^1085507160 is an apocalyptic number.

1085507160 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 1085507160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682658360).

1085507160 is an abundant number, since it is smaller than the sum of its proper divisors (2279809560).

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

1085507160 is a wasteful number, since it uses less digits than its factorization.

1085507160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 1085507160 is about 32947.0356784947. The cubic root of 1085507160 is about 1027.7265216502.

The spelling of 1085507160 in words is "one billion, eighty-five million, five hundred seven thousand, one hundred sixty".