8246085120 has 1600 divisors, whose sum is σ = 39927444480. Its totient is φ = 1576599552.

The previous prime is 8246085119. The next prime is 8246085151. The reversal of 8246085120 is 215806428.

8246085120 is a `hidden beast` number, since 8 + 24 + 608 + 5 + 1 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358525429 + ... + 358525451.

Almost surely, 2^8246085120 is an apocalyptic number.

8246085120 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 8246085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963722240).

8246085120 is an abundant number, since it is smaller than the sum of its proper divisors (31681359360).

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

8246085120 is a wasteful number, since it uses less digits than its factorization.

8246085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8246085120 is about 90807.9573605750. The cubic root of 8246085120 is about 2020.3003441918.

The spelling of 8246085120 in words is "eight billion, two hundred forty-six million, eighty-five thousand, one hundred twenty".