1001861136 has 200 divisors, whose sum is σ = 3155791320. Its totient is φ = 305565696.

The previous prime is 1001861101. The next prime is 1001861141. The reversal of 1001861136 is 6311681001.

1001861136 is a `hidden beast` number, since 1 + 0 + 0 + 18 + 611 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 798627600 + 203233536 = 28260^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 814570 + ... + 815798.

Almost surely, 2^1001861136 is an apocalyptic number.

1001861136 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 1001861136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577895660).

1001861136 is an abundant number, since it is smaller than the sum of its proper divisors (2153930184).

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

1001861136 is a wasteful number, since it uses less digits than its factorization.

1001861136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1001861136 is about 31652.1900664077. The cubic root of 1001861136 is about 1000.6199941944.

The spelling of 1001861136 in words is "one billion, one million, eight hundred sixty-one thousand, one hundred thirty-six".