8500400 has 60 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 3344640.

The previous prime is 8500399. The next prime is 8500403. The reversal of 8500400 is 40058.

It is not an unprimeable number, because it can be changed into a prime (8500403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31466 + ... + 31734.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 2^8500400 is an apocalyptic number.

8500400 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 8500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

8500400 is an abundant number, since it is smaller than the sum of its proper divisors (12257200).

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

8500400 is a wasteful number, since it uses less digits than its factorization.

8500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8500400 is about 2915.5445460497. The cubic root of 8500400 is about 204.0859563438.

Adding to 8500400 its reverse (40058), we get a palindrome (8540458).

The spelling of 8500400 in words is "eight million, five hundred thousand, four hundred".