1007073984 has 112 divisors (see below), whose sum is σ = 3064548608. Its totient is φ = 285907968.

The previous prime is 1007073973. The next prime is 1007073989. The reversal of 1007073984 is 4893707001.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1007073989) 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 15 ways as a sum of consecutive naturals, for example, 216774 + ... + 221370.

Almost surely, 2^1007073984 is an apocalyptic number.

1007073984 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 1007073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532274304).

1007073984 is an abundant number, since it is smaller than the sum of its proper divisors (2057474624).

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

1007073984 is a wasteful number, since it uses less digits than its factorization.

1007073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1007073984 is about 31734.4290006926. The cubic root of 1007073984 is about 1002.3524562766.

The spelling of 1007073984 in words is "one billion, seven million, seventy-three thousand, nine hundred eighty-four".