96581160 has 160 divisors (see below), whose sum is σ = 349743240. Its totient is φ = 23763456.

The previous prime is 96581119. The next prime is 96581197. The reversal of 96581160 is 6118569.

It can be written as a sum of positive squares in 4 ways, for example, as 50041476 + 46539684 = 7074^2 + 6822^2 .

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 39 ways as a sum of consecutive naturals, for example, 40974 + ... + 43266.

Almost surely, 2^96581160 is an apocalyptic number.

96581160 is a gapful number since it is divisible by the number (90) 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 96581160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174871620).

96581160 is an abundant number, since it is smaller than the sum of its proper divisors (253162080).

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

96581160 is a wasteful number, since it uses less digits than its factorization.

96581160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 96581160 is about 9827.5714192266. The cubic root of 96581160 is about 458.8078139414.

The spelling of 96581160 in words is "ninety-six million, five hundred eighty-one thousand, one hundred sixty".