85764406 has 64 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 33149088.

The previous prime is 85764389. The next prime is 85764407. The reversal of 85764406 is 60446758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85764407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 526081 + ... + 526243.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2^85764406 is an apocalyptic number.

85764406 is a deficient number, since it is larger than the sum of its proper divisors (79547594).

85764406 is a wasteful number, since it uses less digits than its factorization.

85764406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 85764406 is about 9260.9074069445. The cubic root of 85764406 is about 440.9970605330.

The spelling of 85764406 in words is "eighty-five million, seven hundred sixty-four thousand, four hundred six".