96852096 has 96 divisors (see below), whose sum is σ = 304078320. Its totient is φ = 29345280.

The previous prime is 96852071. The next prime is 96852131. The reversal of 96852096 is 69025869.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8851 + ... + 16493.

Almost surely, 2^96852096 is an apocalyptic number.

96852096 is a gapful number since it is divisible by the number (96) 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 96852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152039160).

96852096 is an abundant number, since it is smaller than the sum of its proper divisors (207226224).

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

96852096 is a wasteful number, since it uses less digits than its factorization.

96852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96852096 is about 9841.3462493706. The cubic root of 96852096 is about 459.2364396210.

It can be divided in two parts, 9685 and 2096, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 96852096 in words is "ninety-six million, eight hundred fifty-two thousand, ninety-six".