1162585640 has 64 divisors (see below), whose sum is σ = 2736666000. Its totient is φ = 443914240.

The previous prime is 1162585639. The next prime is 1162585651. The reversal of 1162585640 is 465852611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 720492964 + 442092676 = 26842^2 + 21026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1162585594 and 1162585603.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97610 + ... + 108870.

Almost surely, 2^1162585640 is an apocalyptic number.

1162585640 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 1162585640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368333000).

1162585640 is an abundant number, since it is smaller than the sum of its proper divisors (1574080360).

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

1162585640 is a wasteful number, since it uses less digits than its factorization.

1162585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 1162585640 is about 34096.7101052286. The cubic root of 1162585640 is about 1051.4976783261.

The spelling of 1162585640 in words is "one billion, one hundred sixty-two million, five hundred eighty-five thousand, six hundred forty".