95638320 has 100 divisors (see below), whose sum is σ = 332188560. Its totient is φ = 25501824.

The previous prime is 95638297. The next prime is 95638357. The reversal of 95638320 is 2383659.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 900 + ... + 13859.

Almost surely, 2^95638320 is an apocalyptic number.

95638320 is a gapful number since it is divisible by the number (90) 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 95638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166094280).

95638320 is an abundant number, since it is smaller than the sum of its proper divisors (236550240).

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

95638320 is a wasteful number, since it uses less digits than its factorization.

95638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 95638320 is about 9779.4846489986. The cubic root of 95638320 is about 457.3099452454.

The spelling of 95638320 in words is "ninety-five million, six hundred thirty-eight thousand, three hundred twenty".