85350564 has 192 divisors, whose sum is σ = 257402880. Its totient is φ = 24261120.

The previous prime is 85350553. The next prime is 85350581. The reversal of 85350564 is 46505358.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1610362 + ... + 1610414.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^85350564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85350564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

85350564 is an abundant number, since it is smaller than the sum of its proper divisors (172052316).

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

85350564 is a wasteful number, since it uses less digits than its factorization.

85350564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85350564 is about 9238.5368971499. The cubic root of 85350564 is about 440.2865970291.

The spelling of 85350564 in words is "eighty-five million, three hundred fifty thousand, five hundred sixty-four".