8235817920 has 672 divisors, whose sum is σ = 32865730560. Its totient is φ = 1873428480.

The previous prime is 8235817829. The next prime is 8235817921. The reversal of 8235817920 is 297185328.

It is a happy number.

It is a super-2 number, since 2×8235817920² (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 (8235817921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 64848897 + ... + 64849023.

Almost surely, 2^8235817920 is an apocalyptic number.

8235817920 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 8235817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432865280).

8235817920 is an abundant number, since it is smaller than the sum of its proper divisors (24629912640).

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

8235817920 is a wasteful number, since it uses less digits than its factorization.

8235817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8235817920 is about 90751.4072618161. The cubic root of 8235817920 is about 2019.4615040102.

The spelling of 8235817920 in words is "eight billion, two hundred thirty-five million, eight hundred seventeen thousand, nine hundred twenty".