1085136264 has 40 divisors (see below), whose sum is σ = 3039388110. Its totient is φ = 361711872.

The previous prime is 1085136263. The next prime is 1085136287. The reversal of 1085136264 is 4626315801.

It is a happy number.

1085136264 is a `hidden beast` number, since 10 + 8 + 5 + 13 + 626 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 603684900 + 481451364 = 24570^2 + 21942^2 .

It is a super-3 number, since 3×1085136264³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1085136263) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 836649 + ... + 837944.

Almost surely, 2^1085136264 is an apocalyptic number.

It is an amenable number.

1085136264 is an abundant number, since it is smaller than the sum of its proper divisors (1954251846).

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

1085136264 is a wasteful number, since it uses less digits than its factorization.

1085136264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674611 (or 1674598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1085136264 is about 32941.4065273479. The cubic root of 1085136264 is about 1027.6094571443.

The spelling of 1085136264 in words is "one billion, eighty-five million, one hundred thirty-six thousand, two hundred sixty-four".