1022009984 has 64 divisors (see below), whose sum is σ = 2114810880. Its totient is φ = 491443200.

The previous prime is 1022009983. The next prime is 1022010007. The reversal of 1022009984 is 4899002201.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1022009983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717497 + ... + 718919.

It is an arithmetic number, because the mean of its divisors is an integer number (33043920).

Almost surely, 2^1022009984 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 1022009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057405440).

1022009984 is an abundant number, since it is smaller than the sum of its proper divisors (1092800896).

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

1022009984 is a wasteful number, since it uses less digits than its factorization.

1022009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1022009984 is about 31968.8908784775. The cubic root of 1022009984 is about 1007.2834834086.

The spelling of 1022009984 in words is "one billion, twenty-two million, nine thousand, nine hundred eighty-four".