85133664 has 216 divisors, whose sum is σ = 304995600. Its totient is φ = 22049280.

The previous prime is 85133663. The next prime is 85133669. The reversal of 85133664 is 46633158.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85133663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243762 + ... + 244110.

Almost surely, 2^85133664 is an apocalyptic number.

85133664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152497800).

85133664 is an abundant number, since it is smaller than the sum of its proper divisors (219861936).

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

85133664 is a wasteful number, since it uses less digits than its factorization.

85133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85133664 is about 9226.7905579351. The cubic root of 85133664 is about 439.9133162570.

The spelling of 85133664 in words is "eighty-five million, one hundred thirty-three thousand, six hundred sixty-four".