95952896 has 112 divisors (see below), whose sum is σ = 222939864. Its totient is φ = 40894464.

The previous prime is 95952889. The next prime is 95952917. The reversal of 95952896 is 69825959.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86118400 + 9834496 = 9280^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810406 + ... + 1810458.

Almost surely, 2^95952896 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 95952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111469932).

95952896 is an abundant number, since it is smaller than the sum of its proper divisors (126986968).

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

95952896 is a wasteful number, since it uses less digits than its factorization.

95952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 53.

The square root of 95952896 is about 9795.5549102641. The cubic root of 95952896 is about 457.8107950198.

The spelling of 95952896 in words is "ninety-five million, nine hundred fifty-two thousand, eight hundred ninety-six".