8423568400 has 135 divisors (see below), whose sum is σ = 21976368069. Its totient is φ = 3101429760.

The previous prime is 8423568397. The next prime is 8423568401. The reversal of 8423568400 is 48653248.

The square root of 8423568400 is 91780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8213434384 + 210134016 = 90628^2 + 14496^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8423568401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23862624 + ... + 23862976.

Almost surely, 2^8423568400 is an apocalyptic number.

8423568400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8423568400 is the 91780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8423568400

8423568400 is an abundant number, since it is smaller than the sum of its proper divisors (13552799669).

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

8423568400 is a wasteful number, since it uses less digits than its factorization.

8423568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The cubic root of 8423568400 is about 2034.6921157644.

The spelling of 8423568400 in words is "eight billion, four hundred twenty-three million, five hundred sixty-eight thousand, four hundred".