8192910240 has 168 divisors, whose sum is σ = 29020763268. Its totient is φ = 2184744960.

The previous prime is 8192910227. The next prime is 8192910241. The reversal of 8192910240 is 420192918.

It can be written as a sum of positive squares in 2 ways, for example, as 7446309264 + 746600976 = 86292^2 + 27324^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8192910195 and 8192910204.

It is not an unprimeable number, because it can be changed into a prime (8192910241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81520 + ... + 151760.

Almost surely, 2^8192910240 is an apocalyptic number.

8192910240 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 8192910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14510381634).

8192910240 is an abundant number, since it is smaller than the sum of its proper divisors (20827853028).

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

8192910240 is an equidigital number, since it uses as much as digits as its factorization.

8192910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70274 (or 70251 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8192910240 is about 90514.6962653027. The cubic root of 8192910240 is about 2015.9483405130.

It can be divided in two parts, 81 and 92910240, that added together give a square (92910321 = 9639²).

The spelling of 8192910240 in words is "eight billion, one hundred ninety-two million, nine hundred ten thousand, two hundred forty".