95507640 has 128 divisors (see below), whose sum is σ = 320716800. Its totient is φ = 25280640.

The previous prime is 95507627. The next prime is 95507641. The reversal of 95507640 is 4670559.

95507640 is a `hidden beast` number, since 9 + 5 + 5 + 0 + 7 + 640 = 666.

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 = 95507595 and 95507604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95507641) 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 31 ways as a sum of consecutive naturals, for example, 206049 + ... + 206511.

It is an arithmetic number, because the mean of its divisors is an integer number (2505600).

Almost surely, 2^95507640 is an apocalyptic number.

95507640 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 95507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160358400).

95507640 is an abundant number, since it is smaller than the sum of its proper divisors (225209160).

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

95507640 is a wasteful number, since it uses less digits than its factorization.

95507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 95507640 is about 9772.8010314341. The cubic root of 95507640 is about 457.1015611878.

The spelling of 95507640 in words is "ninety-five million, five hundred seven thousand, six hundred forty".