95068320 has 96 divisors (see below), whose sum is σ = 309173760. Its totient is φ = 24529920.

The previous prime is 95068319. The next prime is 95068321. The reversal of 95068320 is 2386059.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95068319) and next prime (95068321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (95068321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11686 + ... + 18074.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2^95068320 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 95068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586880).

95068320 is an abundant number, since it is smaller than the sum of its proper divisors (214105440).

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

95068320 is a wasteful number, since it uses less digits than its factorization.

95068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6438 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 95068320 is about 9750.2984569704. The cubic root of 95068320 is about 456.3996189101.

The spelling of 95068320 in words is "ninety-five million, sixty-eight thousand, three hundred twenty".