95075640 has 256 divisors, whose sum is σ = 354585600. Its totient is φ = 22464000.

The previous prime is 95075621. The next prime is 95075641. The reversal of 95075640 is 4657059.

95075640 is a `hidden beast` number, since 9 + 5 + 0 + 7 + 5 + 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 = 95075595 and 95075604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95075641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629565 + ... + 629715.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^95075640 is an apocalyptic number.

95075640 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 95075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

95075640 is an abundant number, since it is smaller than the sum of its proper divisors (259509960).

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

95075640 is a wasteful number, since it uses less digits than its factorization.

95075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

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

The square root of 95075640 is about 9750.6738228699. The cubic root of 95075640 is about 456.4113324492.

The spelling of 95075640 in words is "ninety-five million, seventy-five thousand, six hundred forty".