95338656 has 216 divisors, whose sum is σ = 329513184. Its totient is φ = 25608960.

The previous prime is 95338651. The next prime is 95338667. The reversal of 95338656 is 65683359.

Its product of digits (583200) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (95338651) 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 35 ways as a sum of consecutive naturals, for example, 727711 + ... + 727841.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2^95338656 is an apocalyptic number.

95338656 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 95338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164756592).

95338656 is an abundant number, since it is smaller than the sum of its proper divisors (234174528).

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

95338656 is a wasteful number, since it uses less digits than its factorization.

95338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 95338656 is about 9764.1515760459. The cubic root of 95338656 is about 456.8318150504.

The spelling of 95338656 in words is "ninety-five million, three hundred thirty-eight thousand, six hundred fifty-six".