1117892880 has 320 divisors, whose sum is σ = 4252227840. Its totient is φ = 268185600.

The previous prime is 1117892869. The next prime is 1117892927. The reversal of 1117892880 is 882987111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150795 + ... + 1151765.

It is an arithmetic number, because the mean of its divisors is an integer number (13288212).

Almost surely, 2^1117892880 is an apocalyptic number.

1117892880 is a gapful number since it is divisible by the number (10) 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 1117892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126113920).

1117892880 is an abundant number, since it is smaller than the sum of its proper divisors (3134334960).

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

1117892880 is a wasteful number, since it uses less digits than its factorization.

1117892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 1117892880 is about 33434.9051142664. The cubic root of 1117892880 is about 1037.8471491326.

The spelling of 1117892880 in words is "one billion, one hundred seventeen million, eight hundred ninety-two thousand, eight hundred eighty".