8254989600 has 576 divisors, whose sum is σ = 32127943680. Its totient is φ = 1814630400.

The previous prime is 8254989583. The next prime is 8254989601. The reversal of 8254989600 is 69894528.

It is a super-2 number, since 2×8254989600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8254989601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22994221 + ... + 22994579.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 2^8254989600 is an apocalyptic number.

8254989600 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 8254989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

8254989600 is an abundant number, since it is smaller than the sum of its proper divisors (23872954080).

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

8254989600 is a wasteful number, since it uses less digits than its factorization.

8254989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 8254989600 is about 90856.9733152057. The cubic root of 8254989600 is about 2021.0272852096.

The spelling of 8254989600 in words is "eight billion, two hundred fifty-four million, nine hundred eighty-nine thousand, six hundred".