96859600 has 60 divisors (see below), whose sum is σ = 233653696. Its totient is φ = 38586240.

The previous prime is 96859583. The next prime is 96859603. The reversal of 96859600 is 695869.

It is a super-2 number, since 2×96859600² = 18763564224320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96859603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184939 + ... + 185461.

Almost surely, 2^96859600 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 96859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116826848).

96859600 is an abundant number, since it is smaller than the sum of its proper divisors (136794096).

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

96859600 is a wasteful number, since it uses less digits than its factorization.

96859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 96859600 is about 9841.7274906390. The cubic root of 96859600 is about 459.2482997025.

The spelling of 96859600 in words is "ninety-six million, eight hundred fifty-nine thousand, six hundred".