95938080 has 144 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 21923328.

The previous prime is 95938069. The next prime is 95938081. The reversal of 95938080 is 8083959.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95938081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21481 + ... + 25559.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^95938080 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 95938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

95938080 is an abundant number, since it is smaller than the sum of its proper divisors (255692640).

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

95938080 is a wasteful number, since it uses less digits than its factorization.

95938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95938080 is about 9794.7986196756. The cubic root of 95938080 is about 457.7872304231.

The spelling of 95938080 in words is "ninety-five million, nine hundred thirty-eight thousand, eighty".