36085896 has 192 divisors, whose sum is σ = 127595520. Its totient is φ = 8933760.

The previous prime is 36085879. The next prime is 36085913. The reversal of 36085896 is 69858063.

36085896 is a `hidden beast` number, since 3 + 60 + 8 + 589 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36085879) and next prime (36085913).

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, 127371 + ... + 127653.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 2^36085896 is an apocalyptic number.

36085896 is a gapful number since it is divisible by the number (36) 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 36085896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63797760).

36085896 is an abundant number, since it is smaller than the sum of its proper divisors (91509624).

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

36085896 is a wasteful number, since it uses less digits than its factorization.

36085896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 36085896 is about 6007.1537353392. The cubic root of 36085896 is about 330.4551295813.

The spelling of 36085896 in words is "thirty-six million, eighty-five thousand, eight hundred ninety-six".