1165757616 has 160 divisors (see below), whose sum is σ = 3557312000. Its totient is φ = 364476672.

The previous prime is 1165757611. The next prime is 1165757647. The reversal of 1165757616 is 6167575611.

1165757616 is a `hidden beast` number, since 1 + 1 + 6 + 575 + 76 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1165757611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894021 + ... + 895323.

It is an arithmetic number, because the mean of its divisors is an integer number (22233200).

Almost surely, 2^1165757616 is an apocalyptic number.

1165757616 is a gapful number since it is divisible by the number (16) 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 1165757616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778656000).

1165757616 is an abundant number, since it is smaller than the sum of its proper divisors (2391554384).

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

1165757616 is a wasteful number, since it uses less digits than its factorization.

1165757616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1436 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 1165757616 is about 34143.1928208245. The cubic root of 1165757616 is about 1052.4531051864.

The spelling of 1165757616 in words is "one billion, one hundred sixty-five million, seven hundred fifty-seven thousand, six hundred sixteen".