1116077564 has 48 divisors (see below), whose sum is σ = 2293152960. Its totient is φ = 465315840.

The previous prime is 1116077561. The next prime is 1116077569. The reversal of 1116077564 is 4657706111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116077561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468344 + ... + 470720.

It is an arithmetic number, because the mean of its divisors is an integer number (47774020).

Almost surely, 2^1116077564 is an apocalyptic number.

1116077564 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 1116077564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146576480).

1116077564 is an abundant number, since it is smaller than the sum of its proper divisors (1177075396).

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

1116077564 is a wasteful number, since it uses less digits than its factorization.

1116077564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 1116077564 is about 33407.7470656134. The cubic root of 1116077564 is about 1037.2850674718.

The spelling of 1116077564 in words is "one billion, one hundred sixteen million, seventy-seven thousand, five hundred sixty-four".