8582000940 has 288 divisors, whose sum is σ = 28771491840. Its totient is φ = 2062195200.

The previous prime is 8582000939. The next prime is 8582000951. The reversal of 8582000940 is 490002858.

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

It is a junction number, because it is equal to n+sod(n) for n = 8582000895 and 8582000904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6466557 + ... + 6467883.

Almost surely, 2^8582000940 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 8582000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385745920).

8582000940 is an abundant number, since it is smaller than the sum of its proper divisors (20189490900).

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

8582000940 is a wasteful number, since it uses less digits than its factorization.

8582000940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8582000940 is about 92639.0896976001. The cubic root of 8582000940 is about 2047.3692957753.

The spelling of 8582000940 in words is "eight billion, five hundred eighty-two million, nine hundred forty", and thus it is an aban number.