95178816 has 84 divisors (see below), whose sum is σ = 274891500. Its totient is φ = 31484928.

The previous prime is 95178791. The next prime is 95178817. The reversal of 95178816 is 61887159.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 89870400 = 2304^2 + 9480^2 .

It is not an unprimeable number, because it can be changed into a prime (95178817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85270 + ... + 86378.

Almost surely, 2^95178816 is an apocalyptic number.

95178816 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 95178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137445750).

95178816 is an abundant number, since it is smaller than the sum of its proper divisors (179712684).

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

95178816 is a wasteful number, since it uses less digits than its factorization.

95178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 95178816 is about 9755.9630995612. The cubic root of 95178816 is about 456.5763718208.

The spelling of 95178816 in words is "ninety-five million, one hundred seventy-eight thousand, eight hundred sixteen".