8290506960 has 180 divisors, whose sum is σ = 29515931172. Its totient is φ = 2078226432.

The previous prime is 8290506893. The next prime is 8290507031. The reversal of 8290506960 is 696050928.

8290506960 is a `hidden beast` number, since 82 + 9 + 0 + 506 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4779233424 + 3511273536 = 69132^2 + 59256^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 10073109 + ... + 10073931.

Almost surely, 2^8290506960 is an apocalyptic number.

8290506960 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 8290506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757965586).

8290506960 is an abundant number, since it is smaller than the sum of its proper divisors (21225424212).

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

8290506960 is a wasteful number, since it uses less digits than its factorization.

8290506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 8290506960 is about 91052.2210602246. The cubic root of 8290506960 is about 2023.9216499117.

The spelling of 8290506960 in words is "eight billion, two hundred ninety million, five hundred six thousand, nine hundred sixty".