95201280 has 144 divisors (see below), whose sum is σ = 330269940. Its totient is φ = 25362432.

The previous prime is 95201251. The next prime is 95201317. The reversal of 95201280 is 8210259.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 4875264 = 9504^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91644 + ... + 92676.

Almost surely, 2^95201280 is an apocalyptic number.

95201280 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 95201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165134970).

95201280 is an abundant number, since it is smaller than the sum of its proper divisors (235068660).

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

95201280 is a wasteful number, since it uses less digits than its factorization.

95201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 95201280 is about 9757.1143275048. The cubic root of 95201280 is about 456.6122892138.

It can be divided in two parts, 95201 and 280, that added together give a square (95481 = 309²).

The spelling of 95201280 in words is "ninety-five million, two hundred one thousand, two hundred eighty".