8259197940 has 288 divisors, whose sum is σ = 30857702400. Its totient is φ = 1826737920.

The previous prime is 8259197939. The next prime is 8259197957. The reversal of 8259197940 is 497919528.

8259197940 is a `hidden beast` number, since 8 + 2 + 591 + 9 + 7 + 9 + 40 = 666.

It is a super-2 number, since 2×8259197940² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815226 + ... + 825294.

It is an arithmetic number, because the mean of its divisors is an integer number (107144800).

Almost surely, 2^8259197940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8259197940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428851200).

8259197940 is an abundant number, since it is smaller than the sum of its proper divisors (22598504460).

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

8259197940 is a wasteful number, since it uses less digits than its factorization.

8259197940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 8259197940 is about 90880.1295113514. The cubic root of 8259197940 is about 2021.3706623868.

The spelling of 8259197940 in words is "eight billion, two hundred fifty-nine million, one hundred ninety-seven thousand, nine hundred forty".