85583966 has 48 divisors (see below), whose sum is σ = 147834720. Its totient is φ = 37065600.

The previous prime is 85583957. The next prime is 85583987. The reversal of 85583966 is 66938558.

85583966 = 379² + 380² + ... + 677².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785120 + ... + 785228.

It is an arithmetic number, because the mean of its divisors is an integer number (3079890).

Almost surely, 2^85583966 is an apocalyptic number.

85583966 is a deficient number, since it is larger than the sum of its proper divisors (62250754).

85583966 is a wasteful number, since it uses less digits than its factorization.

85583966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 85583966 is about 9251.1602515576. The cubic root of 85583966 is about 440.6875716918.

The spelling of 85583966 in words is "eighty-five million, five hundred eighty-three thousand, nine hundred sixty-six".