95872896 has 160 divisors (see below), whose sum is σ = 326322480. Its totient is φ = 27371520.

The previous prime is 95872859. The next prime is 95872939. The reversal of 95872896 is 69827859.

It is a happy number.

It is a super-2 number, since 2×95872896² = 18383224374853632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71916 + ... + 73236.

Almost surely, 2^95872896 is an apocalyptic number.

95872896 is a gapful number since it is divisible by the number (96) 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 95872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163161240).

95872896 is an abundant number, since it is smaller than the sum of its proper divisors (230449584).

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

95872896 is a wasteful number, since it uses less digits than its factorization.

95872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1333 counting only the distinct ones).

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

The square root of 95872896 is about 9791.4705739230. The cubic root of 95872896 is about 457.6835275500.

The spelling of 95872896 in words is "ninety-five million, eight hundred seventy-two thousand, eight hundred ninety-six".