95759760 has 80 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 25390080.

The previous prime is 95759749. The next prime is 95759761. The reversal of 95759760 is 6795759.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95759761) 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 15 ways as a sum of consecutive naturals, for example, 44796 + ... + 46884.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2^95759760 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 95759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

95759760 is an abundant number, since it is smaller than the sum of its proper divisors (202792560).

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

95759760 is a wasteful number, since it uses less digits than its factorization.

95759760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 95759760 is about 9785.6915953856. The cubic root of 95759760 is about 457.5034249796.

The spelling of 95759760 in words is "ninety-five million, seven hundred fifty-nine thousand, seven hundred sixty".