1001009988 has 120 divisors (see below), whose sum is σ = 2932273344. Its totient is φ = 295099200.

The previous prime is 1001009987. The next prime is 1001010011. The reversal of 1001009988 is 8899001001.

1001009988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1001009983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128073 + ... + 135663.

Almost surely, 2^1001009988 is an apocalyptic number.

1001009988 is a gapful number since it is divisible by the number (18) 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 1001009988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466136672).

1001009988 is an abundant number, since it is smaller than the sum of its proper divisors (1931263356).

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

1001009988 is a wasteful number, since it uses less digits than its factorization.

1001009988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1001009988 is about 31638.7418839625. The cubic root of 1001009988 is about 1000.3365493885.

The spelling of 1001009988 in words is "one billion, one million, nine thousand, nine hundred eighty-eight".