36005640 has 64 divisors (see below), whose sum is σ = 117840960. Its totient is φ = 8728320.

The previous prime is 36005639. The next prime is 36005653. The reversal of 36005640 is 4650063.

It is a super-2 number, since 2×36005640² = 2592812223619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36005640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12319 + ... + 14958.

It is an arithmetic number, because the mean of its divisors is an integer number (1841265).

Almost surely, 2^36005640 is an apocalyptic number.

36005640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36005640 is an abundant number, since it is smaller than the sum of its proper divisors (81835320).

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

36005640 is a wasteful number, since it uses less digits than its factorization.

36005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27302 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36005640 is about 6000.4699815931. The cubic root of 36005640 is about 330.2099673869.

The spelling of 36005640 in words is "thirty-six million, five thousand, six hundred forty".