95681880 has 192 divisors, whose sum is σ = 364066560. Its totient is φ = 21337344.

The previous prime is 95681879. The next prime is 95681881. The reversal of 95681880 is 8818659.

95681880 is a `hidden beast` number, since 9 + 568 + 1 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (95681879) and next prime (95681881).

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 (95681881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107919 + ... + 108801.

It is an arithmetic number, because the mean of its divisors is an integer number (1896180).

Almost surely, 2^95681880 is an apocalyptic number.

95681880 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 95681880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182033280).

95681880 is an abundant number, since it is smaller than the sum of its proper divisors (268384680).

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

95681880 is a wasteful number, since it uses less digits than its factorization.

95681880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 95681880 is about 9781.7115066843. The cubic root of 95681880 is about 457.3793644127.

The spelling of 95681880 in words is "ninety-five million, six hundred eighty-one thousand, eight hundred eighty".