8131400 has 48 divisors (see below), whose sum is σ = 19130100. Its totient is φ = 3214080.

The previous prime is 8131399. The next prime is 8131421. The reversal of 8131400 is 41318.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3912484 + 4218916 = 1978^2 + 2054^2 .

It is a super-2 number, since 2×8131400² = 132239331920000, which contains 22 as substring.

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, 21614 + ... + 21986.

Almost surely, 2^8131400 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 8131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565050).

8131400 is an abundant number, since it is smaller than the sum of its proper divisors (10998700).

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

8131400 is a wasteful number, since it uses less digits than its factorization.

8131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8131400 is about 2851.5609760270. The cubic root of 8131400 is about 201.0890589886.

Adding to 8131400 its reverse (41318), we get a palindrome (8172718).

The spelling of 8131400 in words is "eight million, one hundred thirty-one thousand, four hundred".