96884700 has 216 divisors, whose sum is σ = 328322736. Its totient is φ = 21964800.

The previous prime is 96884699. The next prime is 96884701. The reversal of 96884700 is 748869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96884699) and next prime (96884701).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96884701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617022 + ... + 617178.

Almost surely, 2^96884700 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 96884700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164161368).

96884700 is an abundant number, since it is smaller than the sum of its proper divisors (231438036).

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

96884700 is a wasteful number, since it uses less digits than its factorization.

96884700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 96884700 is about 9843.0025906732. The cubic root of 96884700 is about 459.2879658335.

The spelling of 96884700 in words is "ninety-six million, eight hundred eighty-four thousand, seven hundred".