8197590240 has 360 divisors, whose sum is σ = 32648478408. Its totient is φ = 1872944640.

The previous prime is 8197590161. The next prime is 8197590253. The reversal of 8197590240 is 420957918.

8197590240 is a `hidden beast` number, since 8 + 19 + 7 + 590 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3456255 + ... + 3458625.

Almost surely, 2^8197590240 is an apocalyptic number.

8197590240 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 8197590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324239204).

8197590240 is an abundant number, since it is smaller than the sum of its proper divisors (24450888168).

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

8197590240 is a wasteful number, since it uses less digits than its factorization.

8197590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8197590240 is about 90540.5447299717. The cubic root of 8197590240 is about 2016.3321212084.

The spelling of 8197590240 in words is "eight billion, one hundred ninety-seven million, five hundred ninety thousand, two hundred forty".