95261040 has 240 divisors, whose sum is σ = 375350976. Its totient is φ = 21196800.

The previous prime is 95260939. The next prime is 95261063. The reversal of 95261040 is 4016259.

95261040 is a `hidden beast` number, since 9 + 5 + 2 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 95260995 and 95261013.

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 47 ways as a sum of consecutive naturals, for example, 206410 + ... + 206870.

Almost surely, 2^95261040 is an apocalyptic number.

95261040 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 95261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

95261040 is an abundant number, since it is smaller than the sum of its proper divisors (280089936).

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

95261040 is a wasteful number, since it uses less digits than its factorization.

95261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95261040 is about 9760.1762279172. The cubic root of 95261040 is about 456.7078111886.

Adding to 95261040 its reverse (4016259), we get a palindrome (99277299).

The spelling of 95261040 in words is "ninety-five million, two hundred sixty-one thousand, forty".