95789520 has 160 divisors (see below), whose sum is σ = 335811840. Its totient is φ = 25090560.

The previous prime is 95789483. The next prime is 95789521. The reversal of 95789520 is 2598759.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95789521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131397 + ... + 132123.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^95789520 is an apocalyptic number.

95789520 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 95789520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

95789520 is an abundant number, since it is smaller than the sum of its proper divisors (240022320).

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

95789520 is a wasteful number, since it uses less digits than its factorization.

95789520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 95789520 is about 9787.2120647302. The cubic root of 95789520 is about 457.5508140281.

The spelling of 95789520 in words is "ninety-five million, seven hundred eighty-nine thousand, five hundred twenty".