95006268 has 144 divisors (see below), whose sum is σ = 295835904. Its totient is φ = 25090560.

The previous prime is 95006267. The next prime is 95006279. The reversal of 95006268 is 86260059.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95006267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286863 + ... + 287193.

It is an arithmetic number, because the mean of its divisors is an integer number (2054416).

Almost surely, 2^95006268 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 95006268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147917952).

95006268 is an abundant number, since it is smaller than the sum of its proper divisors (200829636).

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

95006268 is a wasteful number, since it uses less digits than its factorization.

95006268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 95006268 is about 9747.1158811209. The cubic root of 95006268 is about 456.3002985018.

The spelling of 95006268 in words is "ninety-five million, six thousand, two hundred sixty-eight".