95221280 has 192 divisors, whose sum is σ = 287400960. Its totient is φ = 28953600.

The previous prime is 95221277. The next prime is 95221283. The reversal of 95221280 is 8212259.

It is an interprime number because it is at equal distance from previous prime (95221277) and next prime (95221283).

It is not an unprimeable number, because it can be changed into a prime (95221283) 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, 726815 + ... + 726945.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^95221280 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 95221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

95221280 is an abundant number, since it is smaller than the sum of its proper divisors (192179680).

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

95221280 is a wasteful number, since it uses less digits than its factorization.

95221280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 95221280 is about 9758.1391668699. The cubic root of 95221280 is about 456.6442621955.

The spelling of 95221280 in words is "ninety-five million, two hundred twenty-one thousand, two hundred eighty".