8398100 has 36 divisors (see below), whose sum is σ = 18386844. Its totient is φ = 3329280.

The previous prime is 8398097. The next prime is 8398111. The reversal of 8398100 is 18938.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1669264 + 6728836 = 1292^2 + 2594^2 .

It is a super-2 number, since 2×8398100² = 141056167220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13394 + ... + 14006.

Almost surely, 2^8398100 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 8398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193422).

8398100 is an abundant number, since it is smaller than the sum of its proper divisors (9988744).

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

8398100 is a wasteful number, since it uses less digits than its factorization.

8398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 8398100 is about 2897.9475495599. The cubic root of 8398100 is about 203.2639435955.

The spelling of 8398100 in words is "eight million, three hundred ninety-eight thousand, one hundred".