8741200 has 90 divisors (see below), whose sum is σ = 23181242. Its totient is φ = 3148800.

The previous prime is 8741191. The next prime is 8741203. The reversal of 8741200 is 21478.

It can be written as a sum of positive squares in 9 ways, for example, as 8088336 + 652864 = 2844^2 + 808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8741203) 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, 213180 + ... + 213220.

Almost surely, 2^8741200 is an apocalyptic number.

8741200 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 8741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590621).

8741200 is an abundant number, since it is smaller than the sum of its proper divisors (14440042).

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

8741200 is a wasteful number, since it uses less digits than its factorization.

8741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8741200 is about 2956.5520458805. The cubic root of 8741200 is about 205.9951612273.

Adding to 8741200 its reverse (21478), we get a palindrome (8762678).

The spelling of 8741200 in words is "eight million, seven hundred forty-one thousand, two hundred".