36115640 has 64 divisors (see below), whose sum is σ = 89856000. Its totient is φ = 12954240.

The previous prime is 36115621. The next prime is 36115649. The reversal of 36115640 is 4651163.

36115640 = 632² + 633² + ... + 711².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36115649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34241 + ... + 35279.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^36115640 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 36115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928000).

36115640 is an abundant number, since it is smaller than the sum of its proper divisors (53740360).

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

36115640 is a wasteful number, since it uses less digits than its factorization.

36115640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 36115640 is about 6009.6289402924. The cubic root of 36115640 is about 330.5458978052.

The spelling of 36115640 in words is "thirty-six million, one hundred fifteen thousand, six hundred forty".