1117892664 has 480 divisors, whose sum is σ = 4096818000. Its totient is φ = 282175488.

The previous prime is 1117892663. The next prime is 1117892669. The reversal of 1117892664 is 4662987111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117892663) 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 119 ways as a sum of consecutive naturals, for example, 10255842 + ... + 10255950.

Almost surely, 2^1117892664 is an apocalyptic number.

1117892664 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 1117892664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048409000).

1117892664 is an abundant number, since it is smaller than the sum of its proper divisors (2978925336).

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

1117892664 is a wasteful number, since it uses less digits than its factorization.

1117892664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1117892664 is about 33434.9018841091. The cubic root of 1117892664 is about 1037.8470822881.

The spelling of 1117892664 in words is "one billion, one hundred seventeen million, eight hundred ninety-two thousand, six hundred sixty-four".