85764042 has 128 divisors (see below), whose sum is σ = 242565120. Its totient is φ = 21850560.

The previous prime is 85764001. The next prime is 85764047. The reversal of 85764042 is 24046758.

85764042 is a `hidden beast` number, since 8 + 5 + 7 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85763988 and 85764006.

It is not an unprimeable number, because it can be changed into a prime (85764047) 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, 152053 + ... + 152615.

It is an arithmetic number, because the mean of its divisors is an integer number (1895040).

Almost surely, 2^85764042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85764042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121282560).

85764042 is an abundant number, since it is smaller than the sum of its proper divisors (156801078).

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

85764042 is a wasteful number, since it uses less digits than its factorization.

85764042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85764042 is about 9260.8877544218. The cubic root of 85764042 is about 440.9964366411.

The spelling of 85764042 in words is "eighty-five million, seven hundred sixty-four thousand, forty-two".