95509440 has 168 divisors, whose sum is σ = 353921568. Its totient is φ = 23500800.

The previous prime is 95509433. The next prime is 95509483. The reversal of 95509440 is 4490559.

It is a super-2 number, since 2×95509440² = 18244106258227200, which contains 22 as substring.

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 = 95509395 and 95509404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36165 + ... + 38715.

It is an arithmetic number, because the mean of its divisors is an integer number (2106676).

Almost surely, 2^95509440 is an apocalyptic number.

95509440 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 95509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176960784).

95509440 is an abundant number, since it is smaller than the sum of its proper divisors (258412128).

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

95509440 is a wasteful number, since it uses less digits than its factorization.

95509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95509440 is about 9772.8931233284. The cubic root of 95509440 is about 457.1044327823.

Adding to 95509440 its reverse (4490559), we get a palindrome (99999999).

The spelling of 95509440 in words is "ninety-five million, five hundred nine thousand, four hundred forty".