36165840 has 80 divisors (see below), whose sum is σ = 115754496. Its totient is φ = 9331200.

The previous prime is 36165827. The next prime is 36165841. The reversal of 36165840 is 4856163.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36165841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5010 + ... + 9870.

Almost surely, 2^36165840 is an apocalyptic number.

36165840 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 36165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57877248).

36165840 is an abundant number, since it is smaller than the sum of its proper divisors (79588656).

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

36165840 is a wasteful number, since it uses less digits than its factorization.

36165840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36165840 is about 6013.8041205214. The cubic root of 36165840 is about 330.6989775774.

It can be divided in two parts, 36 and 165840, that multiplied together give a triangular number (5970240 = T₃₄₅₅).

The spelling of 36165840 in words is "thirty-six million, one hundred sixty-five thousand, eight hundred forty".