36681088 has 32 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 17991168.

The previous prime is 36681061. The next prime is 36681119. The reversal of 36681088 is 88018663.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36681088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4081 + ... + 9487.

It is an arithmetic number, because the mean of its divisors is an integer number (2327130).

Almost surely, 2^36681088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

36681088 is an abundant number, since it is smaller than the sum of its proper divisors (37787072).

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

36681088 is an equidigital number, since it uses as much as digits as its factorization.

36681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 36681088 is about 6056.4913935380. The cubic root of 36681088 is about 332.2620469471.

The spelling of 36681088 in words is "thirty-six million, six hundred eighty-one thousand, eighty-eight".