96846192 has 210 divisors, whose sum is σ = 309826152. Its totient is φ = 29253312.

The previous prime is 96846181. The next prime is 96846193. The reversal of 96846192 is 29164869.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96846193) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4210693 + ... + 4210715.

Almost surely, 2^96846192 is an apocalyptic number.

96846192 is a gapful number since it is divisible by the number (92) 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 96846192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154913076).

96846192 is an abundant number, since it is smaller than the sum of its proper divisors (212979960).

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

96846192 is a wasteful number, since it uses less digits than its factorization.

96846192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 96846192 is about 9841.0462858377. The cubic root of 96846192 is about 459.2271079110.

It can be divided in two parts, 9684 and 6192, that added together give a square (15876 = 126²).

The spelling of 96846192 in words is "ninety-six million, eight hundred forty-six thousand, one hundred ninety-two".