1002115884 has 96 divisors (see below), whose sum is σ = 2921006592. Its totient is φ = 259776000.

The previous prime is 1002115859. The next prime is 1002115901. The reversal of 1002115884 is 4885112001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757944 + ... + 759264.

It is an arithmetic number, because the mean of its divisors is an integer number (30427152).

Almost surely, 2^1002115884 is an apocalyptic number.

1002115884 is a gapful number since it is divisible by the number (14) 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 1002115884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460503296).

1002115884 is an abundant number, since it is smaller than the sum of its proper divisors (1918890708).

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

1002115884 is a wasteful number, since it uses less digits than its factorization.

1002115884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1002115884 is about 31656.2139871463. The cubic root of 1002115884 is about 1000.7047978100.

Adding to 1002115884 its reverse (4885112001), we get a palindrome (5887227885).

It can be divided in two parts, 1002 and 115884, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 1002115884 in words is "one billion, two million, one hundred fifteen thousand, eight hundred eighty-four".