8386896400 has 135 divisors (see below), whose sum is σ = 21354441543. Its totient is φ = 3165004800.

The previous prime is 8386896383. The next prime is 8386896443. The reversal of 8386896400 is 46986838.

The square root of 8386896400 is 91580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 124813584 + 8262082816 = 11172^2 + 90896^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34800280 + ... + 34800520.

Almost surely, 2^8386896400 is an apocalyptic number.

8386896400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8386896400 is the 91580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8386896400

8386896400 is an abundant number, since it is smaller than the sum of its proper divisors (12967545143).

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

8386896400 is a wasteful number, since it uses less digits than its factorization.

8386896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The cubic root of 8386896400 is about 2031.7351435747.

The spelling of 8386896400 in words is "eight billion, three hundred eighty-six million, eight hundred ninety-six thousand, four hundred".