96252832 has 48 divisors (see below), whose sum is σ = 204937992. Its totient is φ = 44236800.

The previous prime is 96252811. The next prime is 96252847. The reversal of 96252832 is 23825269.

It can be written as a sum of positive squares in 4 ways, for example, as 95179536 + 1073296 = 9756^2 + 1036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96252791 and 96252800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166528 + ... + 167104.

Almost surely, 2^96252832 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 96252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102468996).

96252832 is an abundant number, since it is smaller than the sum of its proper divisors (108685160).

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

96252832 is a wasteful number, since it uses less digits than its factorization.

96252832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 96252832 is about 9810.8527661972. The cubic root of 96252832 is about 458.2873174151.

The spelling of 96252832 in words is "ninety-six million, two hundred fifty-two thousand, eight hundred thirty-two".