36085140 has 144 divisors (see below), whose sum is σ = 134779008. Its totient is φ = 7610112.

The previous prime is 36085117. The next prime is 36085151. The reversal of 36085140 is 4158063.

36085140 is a `hidden beast` number, since 3 + 608 + 51 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15279 + ... + 17481.

Almost surely, 2^36085140 is an apocalyptic number.

36085140 is a gapful number since it is divisible by the number (30) 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 36085140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67389504).

36085140 is an abundant number, since it is smaller than the sum of its proper divisors (98693868).

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

36085140 is a wasteful number, since it uses less digits than its factorization.

36085140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36085140 is about 6007.0908100344. The cubic root of 36085140 is about 330.4528218854.

The spelling of 36085140 in words is "thirty-six million, eighty-five thousand, one hundred forty".