1117737984 has 264 divisors, whose sum is σ = 3415116544. Its totient is φ = 324403200.

The previous prime is 1117737983. The next prime is 1117738003. The reversal of 1117737984 is 4897377111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (296352) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117737983) 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 23 ways as a sum of consecutive naturals, for example, 11523024 + ... + 11523120.

Almost surely, 2^1117737984 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 1117737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707558272).

1117737984 is an abundant number, since it is smaller than the sum of its proper divisors (2297378560).

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

1117737984 is a wasteful number, since it uses less digits than its factorization.

1117737984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its digits is 296352, while the sum is 48.

The square root of 1117737984 is about 33432.5886523912. The cubic root of 1117737984 is about 1037.7992119821.

The spelling of 1117737984 in words is "one billion, one hundred seventeen million, seven hundred thirty-seven thousand, nine hundred eighty-four".