95659680 has 192 divisors, whose sum is σ = 336389760. Its totient is φ = 22708224.

The previous prime is 95659673. The next prime is 95659687. The reversal of 95659680 is 8695659.

It is an interprime number because it is at equal distance from previous prime (95659673) and next prime (95659687).

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

It is not an unprimeable number, because it can be changed into a prime (95659687) 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, 154732 + ... + 155348.

It is an arithmetic number, because the mean of its divisors is an integer number (1752030).

Almost surely, 2^95659680 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 95659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168194880).

95659680 is an abundant number, since it is smaller than the sum of its proper divisors (240730080).

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

95659680 is a wasteful number, since it uses less digits than its factorization.

95659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 95659680 is about 9780.5766701151. The cubic root of 95659680 is about 457.3439881315.

The spelling of 95659680 in words is "ninety-five million, six hundred fifty-nine thousand, six hundred eighty".