85383564 has 48 divisors (see below), whose sum is σ = 228243456. Its totient is φ = 24336000.

The previous prime is 85383547. The next prime is 85383577. The reversal of 85383564 is 46538358.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 42789 + ... + 44739.

It is an arithmetic number, because the mean of its divisors is an integer number (4755072).

Almost surely, 2^85383564 is an apocalyptic number.

85383564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85383564 is an abundant number, since it is smaller than the sum of its proper divisors (142859892).

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

85383564 is a wasteful number, since it uses less digits than its factorization.

85383564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2484 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 85383564 is about 9240.3227216369. The cubic root of 85383564 is about 440.3433339537.

The spelling of 85383564 in words is "eighty-five million, three hundred eighty-three thousand, five hundred sixty-four".