8435089920 has 480 divisors, whose sum is σ = 30366306432. Its totient is φ = 1986789376.

The previous prime is 8435089907. The next prime is 8435089939. The reversal of 8435089920 is 299805348.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8435089920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159152614 + ... + 159152666.

Almost surely, 2^8435089920 is an apocalyptic number.

8435089920 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 8435089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183153216).

8435089920 is an abundant number, since it is smaller than the sum of its proper divisors (21931216512).

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

8435089920 is a wasteful number, since it uses less digits than its factorization.

8435089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8435089920 is about 91842.7456035587. The cubic root of 8435089920 is about 2035.6193580287.

The spelling of 8435089920 in words is "eight billion, four hundred thirty-five million, eighty-nine thousand, nine hundred twenty".