1117980672 has 192 divisors, whose sum is σ = 3209169600. Its totient is φ = 345047040.

The previous prime is 1117980671. The next prime is 1117980679. The reversal of 1117980672 is 2760897111.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1117980671) 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 15 ways as a sum of consecutive naturals, for example, 7120818 + ... + 7120974.

It is an arithmetic number, because the mean of its divisors is an integer number (16714425).

Almost surely, 2^1117980672 is an apocalyptic number.

1117980672 is a gapful number since it is divisible by the number (12) 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 1117980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604584800).

1117980672 is an abundant number, since it is smaller than the sum of its proper divisors (2091188928).

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

1117980672 is a wasteful number, since it uses less digits than its factorization.

1117980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The square root of 1117980672 is about 33436.2179679461. The cubic root of 1117980672 is about 1037.8743169986.

The spelling of 1117980672 in words is "one billion, one hundred seventeen million, nine hundred eighty thousand, six hundred seventy-two".