8017085952 has 120 divisors (see below), whose sum is σ = 23261546880. Its totient is φ = 2658078720.

The previous prime is 8017085939. The next prime is 8017085971. The reversal of 8017085952 is 2595807108.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8017085898 and 8017085907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875574 + ... + 884682.

It is an arithmetic number, because the mean of its divisors is an integer number (193846224).

Almost surely, 2^8017085952 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 8017085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630773440).

8017085952 is an abundant number, since it is smaller than the sum of its proper divisors (15244460928).

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

8017085952 is a wasteful number, since it uses less digits than its factorization.

8017085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 8017085952 is about 89538.1815316795. The cubic root of 8017085952 is about 2001.4228168894.

The spelling of 8017085952 in words is "eight billion, seventeen million, eighty-five thousand, nine hundred fifty-two".