95079936 has 160 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 26320896.

The previous prime is 95079917. The next prime is 95079949. The reversal of 95079936 is 63997059.

It is a happy number.

It is a super-3 number, since 3×95079936³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 397705 + ... + 397943.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^95079936 is an apocalyptic number.

95079936 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 95079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

95079936 is an abundant number, since it is smaller than the sum of its proper divisors (203472384).

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

95079936 is a wasteful number, since it uses less digits than its factorization.

95079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 95079936 is about 9750.8941128493. The cubic root of 95079936 is about 456.4182066726.

The spelling of 95079936 in words is "ninety-five million, seventy-nine thousand, nine hundred thirty-six".