8485200 has 90 divisors (see below), whose sum is σ = 29458494. Its totient is φ = 2261760.

The previous prime is 8485199. The next prime is 8485201. The reversal of 8485200 is 25848.

It is an interprime number because it is at equal distance from previous prime (8485199) and next prime (8485201).

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 8433216 = 228^2 + 2904^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2422 + ... + 4778.

Almost surely, 2^8485200 is an apocalyptic number.

8485200 is a gapful number since it is divisible by the number (80) 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 8485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729247).

8485200 is an abundant number, since it is smaller than the sum of its proper divisors (20973294).

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

8485200 is a wasteful number, since it uses less digits than its factorization.

8485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8485200 is about 2912.9366625452. The cubic root of 8485200 is about 203.9642382526.

The spelling of 8485200 in words is "eight million, four hundred eighty-five thousand, two hundred".