36086640 has 80 divisors (see below), whose sum is σ = 114019488. Its totient is φ = 9438208.

The previous prime is 36086627. The next prime is 36086671. The reversal of 36086640 is 4668063.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 11302 + ... + 14138.

Almost surely, 2^36086640 is an apocalyptic number.

36086640 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 36086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57009744).

36086640 is an abundant number, since it is smaller than the sum of its proper divisors (77932848).

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

36086640 is a wasteful number, since it uses less digits than its factorization.

36086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36086640 is about 6007.2156611861. The cubic root of 36086640 is about 330.4574006157.

The spelling of 36086640 in words is "thirty-six million, eighty-six thousand, six hundred forty".