1165757040 has 360 divisors, whose sum is σ = 4604491008. Its totient is φ = 263531520.

The previous prime is 1165757029. The next prime is 1165757041. The reversal of 1165757040 is 407575611.

1165757040 is a `hidden beast` number, since 1 + 16 + 575 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1165756986 and 1165757004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165757041) 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 71 ways as a sum of consecutive naturals, for example, 6103345 + ... + 6103535.

Almost surely, 2^1165757040 is an apocalyptic number.

1165757040 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 1165757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302245504).

1165757040 is an abundant number, since it is smaller than the sum of its proper divisors (3438733968).

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

1165757040 is a wasteful number, since it uses less digits than its factorization.

1165757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1165757040 is about 34143.1843857599. The cubic root of 1165757040 is about 1052.4529318476.

The spelling of 1165757040 in words is "one billion, one hundred sixty-five million, seven hundred fifty-seven thousand, forty".