96895872 has 192 divisors, whose sum is σ = 304592400. Its totient is φ = 30311424.

The previous prime is 96895861. The next prime is 96895879. The reversal of 96895872 is 27859869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96895879) 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, 1828198 + ... + 1828250.

Almost surely, 2^96895872 is an apocalyptic number.

96895872 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 96895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152296200).

96895872 is an abundant number, since it is smaller than the sum of its proper divisors (207696528).

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

96895872 is a wasteful number, since it uses less digits than its factorization.

96895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 96895872 is about 9843.5700840701. The cubic root of 96895872 is about 459.3056190094.

The spelling of 96895872 in words is "ninety-six million, eight hundred ninety-five thousand, eight hundred seventy-two".