95300960 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 32643072.

The previous prime is 95300911. The next prime is 95300969. The reversal of 95300960 is 6900359.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95300969) 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, 2027657 + ... + 2027703.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^95300960 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 95300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

95300960 is an abundant number, since it is smaller than the sum of its proper divisors (165972640).

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

95300960 is a wasteful number, since it uses less digits than its factorization.

95300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 95300960 is about 9762.2210587550. The cubic root of 95300960 is about 456.7715981249.

The spelling of 95300960 in words is "ninety-five million, three hundred thousand, nine hundred sixty".