8162394240 has 1024 divisors, whose sum is σ = 36322836480. Its totient is φ = 1504051200.

The previous prime is 8162394223. The next prime is 8162394257. The reversal of 8162394240 is 424932618.

It is an interprime number because it is at equal distance from previous prime (8162394223) and next prime (8162394257).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59579452 + ... + 59579588.

It is an arithmetic number, because the mean of its divisors is an integer number (35471520).

Almost surely, 2^8162394240 is an apocalyptic number.

8162394240 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 8162394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161418240).

8162394240 is an abundant number, since it is smaller than the sum of its proper divisors (28160442240).

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

8162394240 is a wasteful number, since it uses less digits than its factorization.

8162394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8162394240 is about 90345.9696942813. The cubic root of 8162394240 is about 2013.4423031625.

The spelling of 8162394240 in words is "eight billion, one hundred sixty-two million, three hundred ninety-four thousand, two hundred forty".