8238211920 has 200 divisors, whose sum is σ = 28892662656. Its totient is φ = 2175351552.

The previous prime is 8238211897. The next prime is 8238211973. The reversal of 8238211920 is 291128328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661269 + ... + 673611.

Almost surely, 2^8238211920 is an apocalyptic number.

8238211920 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 8238211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446331328).

8238211920 is an abundant number, since it is smaller than the sum of its proper divisors (20654450736).

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

8238211920 is a wasteful number, since it uses less digits than its factorization.

8238211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8238211920 is about 90764.5961815509. The cubic root of 8238211920 is about 2019.6571584278.

The spelling of 8238211920 in words is "eight billion, two hundred thirty-eight million, two hundred eleven thousand, nine hundred twenty".