85358640 has 80 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 21563136.

The previous prime is 85358633. The next prime is 85358711. The reversal of 85358640 is 4685358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4800 + ... + 13919.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^85358640 is an apocalyptic number.

85358640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85358640 is an abundant number, since it is smaller than the sum of its proper divisors (193194960).

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

85358640 is a wasteful number, since it uses less digits than its factorization.

85358640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 85358640 is about 9238.9739690076. The cubic root of 85358640 is about 440.3004834533.

The spelling of 85358640 in words is "eighty-five million, three hundred fifty-eight thousand, six hundred forty".