95805540 has 144 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 23761920.

The previous prime is 95805539. The next prime is 95805547. The reversal of 95805540 is 4550859.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95805495 and 95805504.

It is not an unprimeable number, because it can be changed into a prime (95805547) 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 47 ways as a sum of consecutive naturals, for example, 400741 + ... + 400979.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^95805540 is an apocalyptic number.

95805540 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 95805540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

95805540 is an abundant number, since it is smaller than the sum of its proper divisors (215545500).

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

95805540 is a wasteful number, since it uses less digits than its factorization.

95805540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 95805540 is about 9788.0304453961. The cubic root of 95805540 is about 457.5763197948.

The spelling of 95805540 in words is "ninety-five million, eight hundred five thousand, five hundred forty".