1116629280 has 384 divisors, whose sum is σ = 4292870400. Its totient is φ = 269402112.

The previous prime is 1116629279. The next prime is 1116629329. The reversal of 1116629280 is 829266111.

1116629280 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 629 + 28 + 0 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3313272 + ... + 3313608.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2^1116629280 is an apocalyptic number.

1116629280 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 1116629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1116629280 is an abundant number, since it is smaller than the sum of its proper divisors (3176241120).

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

1116629280 is a wasteful number, since it uses less digits than its factorization.

1116629280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1116629280 is about 33416.0033516876. The cubic root of 1116629280 is about 1037.4559613571.

The spelling of 1116629280 in words is "one billion, one hundred sixteen million, six hundred twenty-nine thousand, two hundred eighty".