8267209920 has 224 divisors, whose sum is σ = 29527439040. Its totient is φ = 2204402688.

The previous prime is 8267209919. The next prime is 8267209927. The reversal of 8267209920 is 299027628.

It is a super-3 number, since 3×8267209920³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8267209927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693934 + ... + 705746.

Almost surely, 2^8267209920 is an apocalyptic number.

8267209920 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 8267209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763719520).

8267209920 is an abundant number, since it is smaller than the sum of its proper divisors (21260229120).

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

8267209920 is an equidigital number, since it uses as much as digits as its factorization.

8267209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8267209920 is about 90924.1987591862. The cubic root of 8267209920 is about 2022.0240731841.

The spelling of 8267209920 in words is "eight billion, two hundred sixty-seven million, two hundred nine thousand, nine hundred twenty".