8420889600 has 660 divisors, whose sum is σ = 32433126528. Its totient is φ = 2156544000.

The previous prime is 8420889541. The next prime is 8420889601. The reversal of 8420889600 is 69880248.

It is a happy number.

It is a super-2 number, since 2×8420889600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8420889601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64281535 + ... + 64281665.

Almost surely, 2^8420889600 is an apocalyptic number.

8420889600 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 8420889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216563264).

8420889600 is an abundant number, since it is smaller than the sum of its proper divisors (24012236928).

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

8420889600 is a wasteful number, since it uses less digits than its factorization.

8420889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8420889600 is about 91765.4052462038. The cubic root of 8420889600 is about 2034.4764070583.

The spelling of 8420889600 in words is "eight billion, four hundred twenty million, eight hundred eighty-nine thousand, six hundred".