85730940 has 48 divisors (see below), whose sum is σ = 266720160. Its totient is φ = 22861440.

The previous prime is 85730893. The next prime is 85730951. The reversal of 85730940 is 4903758.

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 = 85730895 and 85730904.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 78841 + ... + 79920.

It is an arithmetic number, because the mean of its divisors is an integer number (5556670).

Almost surely, 2^85730940 is an apocalyptic number.

It is an amenable number.

85730940 is an abundant number, since it is smaller than the sum of its proper divisors (180989220).

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

85730940 is a wasteful number, since it uses less digits than its factorization.

85730940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158779 (or 158771 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85730940 is about 9259.1003882667. The cubic root of 85730940 is about 440.9396928038.

It can be divided in two parts, 85 and 730940, that added together give a square (731025 = 855²).

The spelling of 85730940 in words is "eighty-five million, seven hundred thirty thousand, nine hundred forty".