85533084 has 144 divisors (see below), whose sum is σ = 276243968. Its totient is φ = 22534848.

The previous prime is 85533083. The next prime is 85533089. The reversal of 85533084 is 48033558.

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 (85533083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87969 + ... + 88935.

Almost surely, 2^85533084 is an apocalyptic number.

85533084 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 85533084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138121984).

85533084 is an abundant number, since it is smaller than the sum of its proper divisors (190710884).

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

85533084 is a wasteful number, since it uses less digits than its factorization.

85533084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85533084 is about 9248.4098092591. The cubic root of 85533084 is about 440.6002207885.

The spelling of 85533084 in words is "eighty-five million, five hundred thirty-three thousand, eighty-four".