8013285984 has 288 divisors, whose sum is σ = 24137955072. Its totient is φ = 2324044800.

The previous prime is 8013285983. The next prime is 8013286037. The reversal of 8013285984 is 4895823108.

It is a super-2 number, since 2×8013285984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013285983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30468637 + ... + 30468899.

It is an arithmetic number, because the mean of its divisors is an integer number (83812344).

Almost surely, 2^8013285984 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 8013285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068977536).

8013285984 is an abundant number, since it is smaller than the sum of its proper divisors (16124669088).

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

8013285984 is a wasteful number, since it uses less digits than its factorization.

8013285984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 8013285984 is about 89516.9591976850. The cubic root of 8013285984 is about 2001.1065529907.

The spelling of 8013285984 in words is "eight billion, thirteen million, two hundred eighty-five thousand, nine hundred eighty-four".