1023536160 has 144 divisors (see below), whose sum is σ = 3525401880. Its totient is φ = 270397440.

The previous prime is 1023536081. The next prime is 1023536161. The reversal of 1023536160 is 616353201.

1023536160 is a `hidden beast` number, since 10 + 2 + 35 + 3 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1012003344 + 11532816 = 31812^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1023536161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153700 + ... + 160220.

Almost surely, 2^1023536160 is an apocalyptic number.

1023536160 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 1023536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762700940).

1023536160 is an abundant number, since it is smaller than the sum of its proper divisors (2501865720).

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

1023536160 is a wasteful number, since it uses less digits than its factorization.

1023536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1023536160 is about 31992.7516790913. The cubic root of 1023536160 is about 1007.7846289678.

Adding to 1023536160 its reverse (616353201), we get a palindrome (1639889361).

The spelling of 1023536160 in words is "one billion, twenty-three million, five hundred thirty-six thousand, one hundred sixty".