8406900 has 54 divisors (see below), whose sum is σ = 26353782. Its totient is φ = 2241600.

The previous prime is 8406847. The next prime is 8406901. The reversal of 8406900 is 96048.

It can be written as a sum of positive squares in 3 ways, for example, as 181476 + 8225424 = 426^2 + 2868^2 .

It is a super-2 number, since 2×8406900² = 141351935220000, which contains 22 as substring.

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 (8406901) 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, 3771 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (488033).

Almost surely, 2^8406900 is an apocalyptic number.

It is an amenable number.

8406900 is an abundant number, since it is smaller than the sum of its proper divisors (17946882).

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

8406900 is a wasteful number, since it uses less digits than its factorization.

8406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8406900 is about 2899.4654679785. The cubic root of 8406900 is about 203.3349159302.

The spelling of 8406900 in words is "eight million, four hundred six thousand, nine hundred".