8490323920 has 80 divisors (see below), whose sum is σ = 21453783120. Its totient is φ = 3106086912.

The previous prime is 8490323867. The next prime is 8490323971. The reversal of 8490323920 is 293230948.

It can be written as a sum of positive squares in 8 ways, for example, as 2280253504 + 6210070416 = 47752^2 + 78804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75912 + ... + 150808.

It is an arithmetic number, because the mean of its divisors is an integer number (268172289).

Almost surely, 2^8490323920 is an apocalyptic number.

8490323920 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 8490323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10726891560).

8490323920 is an abundant number, since it is smaller than the sum of its proper divisors (12963459200).

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

8490323920 is a wasteful number, since it uses less digits than its factorization.

8490323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75032 (or 75026 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 8490323920 is about 92142.9537186648. The cubic root of 8490323920 is about 2040.0528565056.

The spelling of 8490323920 in words is "eight billion, four hundred ninety million, three hundred twenty-three thousand, nine hundred twenty".