95385640 has 128 divisors (see below), whose sum is σ = 269049600. Its totient is φ = 29675520.

The previous prime is 95385581. The next prime is 95385649. The reversal of 95385640 is 4658359.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 95385593 and 95385602.

It is not an unprimeable number, because it can be changed into a prime (95385649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137695 + ... + 138385.

It is an arithmetic number, because the mean of its divisors is an integer number (2101950).

Almost surely, 2^95385640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134524800).

95385640 is an abundant number, since it is smaller than the sum of its proper divisors (173663960).

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

95385640 is a wasteful number, since it uses less digits than its factorization.

95385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 95385640 is about 9766.5572235051. The cubic root of 95385640 is about 456.9068467392.

The spelling of 95385640 in words is "ninety-five million, three hundred eighty-five thousand, six hundred forty".