85155300 has 90 divisors (see below), whose sum is σ = 276066098. Its totient is φ = 22705920.

The previous prime is 85155299. The next prime is 85155307. The reversal of 85155300 is 355158.

It can be written as a sum of positive squares in 3 ways, for example, as 1542564 + 83612736 = 1242^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85155307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2844 + ... + 13356.

Almost surely, 2^85155300 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 85155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138033049).

85155300 is an abundant number, since it is smaller than the sum of its proper divisors (190910798).

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

85155300 is a wasteful number, since it uses less digits than its factorization.

85155300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85155300 is about 9227.9629388072. The cubic root of 85155300 is about 439.9505798489.

The spelling of 85155300 in words is "eighty-five million, one hundred fifty-five thousand, three hundred".