85884300 has 180 divisors, whose sum is σ = 291137616. Its totient is φ = 21859200.

The previous prime is 85884269. The next prime is 85884301. The reversal of 85884300 is 348858.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×85884300² = 14752225972980000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85884301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 186070 + ... + 186530.

Almost surely, 2^85884300 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 85884300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568808).

85884300 is an abundant number, since it is smaller than the sum of its proper divisors (205253316).

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

85884300 is a wasteful number, since it uses less digits than its factorization.

85884300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85884300 is about 9267.3782700395. The cubic root of 85884300 is about 441.2024615276.

It can be divided in two parts, 858 and 84300, that added together give a palindrome (85158).

The spelling of 85884300 in words is "eighty-five million, eight hundred eighty-four thousand, three hundred".