95036256 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 24588288.

The previous prime is 95036243. The next prime is 95036267. The reversal of 95036256 is 65263059.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 95036256.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1610755 + ... + 1610813.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^95036256 is an apocalyptic number.

95036256 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 95036256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

95036256 is an abundant number, since it is smaller than the sum of its proper divisors (244619424).

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

95036256 is a wasteful number, since it uses less digits than its factorization.

95036256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 95036256 is about 9748.6540609461. The cubic root of 95036256 is about 456.3483026815.

The spelling of 95036256 in words is "ninety-five million, thirty-six thousand, two hundred fifty-six".