8352631920 has 160 divisors (see below), whose sum is σ = 26178324480. Its totient is φ = 2202992640.

The previous prime is 8352631897. The next prime is 8352631979. The reversal of 8352631920 is 291362538.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10861296 + ... + 10862064.

It is an arithmetic number, because the mean of its divisors is an integer number (163614528).

Almost surely, 2^8352631920 is an apocalyptic number.

8352631920 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 8352631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089162240).

8352631920 is an abundant number, since it is smaller than the sum of its proper divisors (17825692560).

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

8352631920 is a wasteful number, since it uses less digits than its factorization.

8352631920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 8352631920 is about 91392.7345033510. The cubic root of 8352631920 is about 2028.9644973195.

The spelling of 8352631920 in words is "eight billion, three hundred fifty-two million, six hundred thirty-one thousand, nine hundred twenty".