85764424 has 32 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 40877056.

The previous prime is 85764407. The next prime is 85764451. The reversal of 85764424 is 42446758.

85764424 = T₇₅₆₀ + T₇₅₆₁ + T₇₅₆₂.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 69864 + ... + 71080.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2^85764424 is an apocalyptic number.

85764424 is the 7562-nd centered triangular number.

It is an amenable number.

85764424 is a deficient number, since it is larger than the sum of its proper divisors (82611896).

85764424 is a wasteful number, since it uses less digits than its factorization.

85764424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 85764424 is about 9260.9083787715. The cubic root of 85764424 is about 440.9970913848.

The spelling of 85764424 in words is "eighty-five million, seven hundred sixty-four thousand, four hundred twenty-four".