1074021984 has 288 divisors, whose sum is σ = 3805885440. Its totient is φ = 293255424.

The previous prime is 1074021983. The next prime is 1074022013. The reversal of 1074021984 is 4891204701.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074021983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973177 + ... + 974279.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2^1074021984 is an apocalyptic number.

1074021984 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 1074021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902942720).

1074021984 is an abundant number, since it is smaller than the sum of its proper divisors (2731863456).

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

1074021984 is a wasteful number, since it uses less digits than its factorization.

1074021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1074021984 is about 32772.2746235290. The cubic root of 1074021984 is about 1024.0890527208.

The spelling of 1074021984 in words is "one billion, seventy-four million, twenty-one thousand, nine hundred eighty-four".