95205888 has 160 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 30965760.

The previous prime is 95205883. The next prime is 95205893. The reversal of 95205888 is 88850259.

It is an interprime number because it is at equal distance from previous prime (95205883) and next prime (95205893).

It is a super-2 number, since 2×95205888² = 18128322219737088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95205883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981456 + ... + 981552.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^95205888 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 95205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

95205888 is an abundant number, since it is smaller than the sum of its proper divisors (193525632).

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

95205888 is an equidigital number, since it uses as much as digits as its factorization.

95205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 95205888 is about 9757.3504600378. The cubic root of 95205888 is about 456.6196561858.

The spelling of 95205888 in words is "ninety-five million, two hundred five thousand, eight hundred eighty-eight".