8540400 has 120 divisors (see below), whose sum is σ = 29890944. Its totient is φ = 2067200.

The previous prime is 8540393. The next prime is 8540401. The reversal of 8540400 is 40458.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8540401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12877 + ... + 13523.

Almost surely, 2^8540400 is an apocalyptic number.

8540400 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 8540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945472).

8540400 is an abundant number, since it is smaller than the sum of its proper divisors (21350544).

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

8540400 is a wasteful number, since it uses less digits than its factorization.

8540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8540400 is about 2922.3962770302. The cubic root of 8540400 is about 204.4055752963.

Adding to 8540400 its reverse (40458), we get a palindrome (8580858).

The spelling of 8540400 in words is "eight million, five hundred forty thousand, four hundred".