85066884 has 72 divisors (see below), whose sum is σ = 248917760. Its totient is φ = 23991552.

The previous prime is 85066871. The next prime is 85066921. The reversal of 85066884 is 48866058.

85066884 is a `hidden beast` number, since 8 + 506 + 68 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17772 + ... + 22044.

Almost surely, 2^85066884 is an apocalyptic number.

85066884 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 85066884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124458880).

85066884 is an abundant number, since it is smaller than the sum of its proper divisors (163850876).

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

85066884 is a wasteful number, since it uses less digits than its factorization.

85066884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85066884 is about 9223.1710382059. The cubic root of 85066884 is about 439.7982615122.

The spelling of 85066884 in words is "eighty-five million, sixty-six thousand, eight hundred eighty-four".