1117218672 has 120 divisors (see below), whose sum is σ = 3259077120. Its totient is φ = 356872320.

The previous prime is 1117218659. The next prime is 1117218731. The reversal of 1117218672 is 2768127111.

It is a super-2 number, since 2×1117218672² = 2496355122130887168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476479 + ... + 478817.

It is an arithmetic number, because the mean of its divisors is an integer number (27158976).

Almost surely, 2^1117218672 is an apocalyptic number.

1117218672 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 1117218672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629538560).

1117218672 is an abundant number, since it is smaller than the sum of its proper divisors (2141858448).

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

1117218672 is a wasteful number, since it uses less digits than its factorization.

1117218672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2482 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The square root of 1117218672 is about 33424.8211962308. The cubic root of 1117218672 is about 1037.6384631962.

The spelling of 1117218672 in words is "one billion, one hundred seventeen million, two hundred eighteen thousand, six hundred seventy-two".