96985512 has 160 divisors (see below), whose sum is σ = 303395400. Its totient is φ = 28740096.

The previous prime is 96985507. The next prime is 96985513. The reversal of 96985512 is 21558969.

96985512 is a `hidden beast` number, since 9 + 6 + 98 + 551 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 21399876 = 8694^2 + 4626^2 .

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (96985513) 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, 244098 + ... + 244494.

Almost surely, 2^96985512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96985512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151697700).

96985512 is an abundant number, since it is smaller than the sum of its proper divisors (206409888).

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

96985512 is a wasteful number, since it uses less digits than its factorization.

96985512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 96985512 is about 9848.1222575677. The cubic root of 96985512 is about 459.4472124712.

The spelling of 96985512 in words is "ninety-six million, nine hundred eighty-five thousand, five hundred twelve".