8208132240 has 640 divisors, whose sum is σ = 33877831680. Its totient is φ = 1592524800.

The previous prime is 8208132211. The next prime is 8208132241. The reversal of 8208132240 is 422318028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8208132198 and 8208132207.

It is not an unprimeable number, because it can be changed into a prime (8208132241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34058520 + ... + 34058760.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 2^8208132240 is an apocalyptic number.

8208132240 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 8208132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938915840).

8208132240 is an abundant number, since it is smaller than the sum of its proper divisors (25669699440).

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

8208132240 is a wasteful number, since it uses less digits than its factorization.

8208132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8208132240 is about 90598.7430376382. The cubic root of 8208132240 is about 2017.1960770531.

The spelling of 8208132240 in words is "eight billion, two hundred eight million, one hundred thirty-two thousand, two hundred forty".