1116657360 has 960 divisors, whose sum is σ = 5228236800. Its totient is φ = 213497856.

The previous prime is 1116657343. The next prime is 1116657389. The reversal of 1116657360 is 637566111.

1116657360 is a `hidden beast` number, since 11 + 16 + 6 + 573 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 48550309 + ... + 48550331.

It is an arithmetic number, because the mean of its divisors is an integer number (5446080).

Almost surely, 2^1116657360 is an apocalyptic number.

1116657360 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 1116657360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614118400).

1116657360 is an abundant number, since it is smaller than the sum of its proper divisors (4111579440).

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

1116657360 is a wasteful number, since it uses less digits than its factorization.

1116657360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1116657360 is about 33416.4235070122. The cubic root of 1116657360 is about 1037.4646576242.

It can be divided in two parts, 111665 and 7360, that added together give a square (119025 = 345²).

The spelling of 1116657360 in words is "one billion, one hundred sixteen million, six hundred fifty-seven thousand, three hundred sixty".