95242960 has 80 divisors (see below), whose sum is σ = 233177040. Its totient is φ = 36126720.

The previous prime is 95242937. The next prime is 95242963. The reversal of 95242960 is 6924259.

95242960 = 1003² + 1004² + ... + 1089².

It can be written as a sum of positive squares in 8 ways, for example, as 17943696 + 77299264 = 4236^2 + 8792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95242963) 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 15 ways as a sum of consecutive naturals, for example, 141184 + ... + 141856.

It is an arithmetic number, because the mean of its divisors is an integer number (2914713).

Almost surely, 2^95242960 is an apocalyptic number.

95242960 is the 4880-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116588520).

95242960 is an abundant number, since it is smaller than the sum of its proper divisors (137934080).

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

95242960 is a wasteful number, since it uses less digits than its factorization.

95242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 95242960 is about 9759.2499711812. The cubic root of 95242960 is about 456.6789158512.

The spelling of 95242960 in words is "ninety-five million, two hundred forty-two thousand, nine hundred sixty".