1097079984 has 640 divisors, whose sum is σ = 4399718400. Its totient is φ = 252564480.

The previous prime is 1097079983. The next prime is 1097080003. The reversal of 1097079984 is 4899707901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1097079984.

It is not an unprimeable number, because it can be changed into a prime (1097079983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18594547 + ... + 18594605.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^1097079984 is an apocalyptic number.

1097079984 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 1097079984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1097079984 is an abundant number, since it is smaller than the sum of its proper divisors (3302638416).

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

1097079984 is a wasteful number, since it uses less digits than its factorization.

1097079984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1097079984 is about 33122.1977531685. The cubic root of 1097079984 is about 1031.3658895216.

The spelling of 1097079984 in words is "one billion, ninety-seven million, seventy-nine thousand, nine hundred eighty-four".