95271680 has 180 divisors, whose sum is σ = 274811712. Its totient is φ = 31610880.

The previous prime is 95271647. The next prime is 95271713. The reversal of 95271680 is 8617259.

It is an interprime number because it is at equal distance from previous prime (95271647) and next prime (95271713).

It is a nialpdrome in base 14.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3073265 + ... + 3073295.

Almost surely, 2^95271680 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 95271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137405856).

95271680 is an abundant number, since it is smaller than the sum of its proper divisors (179540032).

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

95271680 is an frugal number, since it uses more digits than its factorization.

95271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 95271680 is about 9760.7212848232. The cubic root of 95271680 is about 456.7248142579.

The spelling of 95271680 in words is "ninety-five million, two hundred seventy-one thousand, six hundred eighty".