85823640 has 96 divisors (see below), whose sum is σ = 318782880. Its totient is φ = 19616256.

The previous prime is 85823623. The next prime is 85823651. The reversal of 85823640 is 4632858.

85823640 is a `hidden beast` number, since 8 + 5 + 8 + 2 + 3 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 85823595 and 85823604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14509 + ... + 19548.

It is an arithmetic number, because the mean of its divisors is an integer number (3320655).

Almost surely, 2^85823640 is an apocalyptic number.

It is an amenable number.

85823640 is an abundant number, since it is smaller than the sum of its proper divisors (232959240).

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

85823640 is a wasteful number, since it uses less digits than its factorization.

85823640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34081 (or 34074 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85823640 is about 9264.1049216856. The cubic root of 85823640 is about 441.0985634354.

The spelling of 85823640 in words is "eighty-five million, eight hundred twenty-three thousand, six hundred forty".