96851400 has 96 divisors (see below), whose sum is σ = 302510400. Its totient is φ = 25632000.

The previous prime is 96851399. The next prime is 96851401. The reversal of 96851400 is 415869.

It is an interprime number because it is at equal distance from previous prime (96851399) and next prime (96851401).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96851401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90066 + ... + 91134.

It is an arithmetic number, because the mean of its divisors is an integer number (3151150).

Almost surely, 2^96851400 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 96851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151255200).

96851400 is an abundant number, since it is smaller than the sum of its proper divisors (205659000).

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

96851400 is a wasteful number, since it uses less digits than its factorization.

96851400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 96851400 is about 9841.3108882913. The cubic root of 96851400 is about 459.2353395611.

The spelling of 96851400 in words is "ninety-six million, eight hundred fifty-one thousand, four hundred".