95585040 has 60 divisors (see below), whose sum is σ = 321008844. Its totient is φ = 25489152.

The previous prime is 95585011. The next prime is 95585047. The reversal of 95585040 is 4058559.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 84052224 = 3396^2 + 9168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 95584986 and 95585004.

It is not an unprimeable number, because it can be changed into a prime (95585047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65659 + ... + 67098.

Almost surely, 2^95585040 is an apocalyptic number.

95585040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95585040 is an abundant number, since it is smaller than the sum of its proper divisors (225423804).

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

95585040 is a wasteful number, since it uses less digits than its factorization.

95585040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132776 (or 132767 counting only the distinct ones).

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

The square root of 95585040 is about 9776.7601995753. The cubic root of 95585040 is about 457.2250071859.

The spelling of 95585040 in words is "ninety-five million, five hundred eighty-five thousand, forty".