36195840 has 120 divisors (see below), whose sum is σ = 125436168. Its totient is φ = 9646080.

The previous prime is 36195829. The next prime is 36195847. The reversal of 36195840 is 4859163.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36195795 and 36195804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36195847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22255 + ... + 23825.

Almost surely, 2^36195840 is an apocalyptic number.

36195840 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 36195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62718084).

36195840 is an abundant number, since it is smaller than the sum of its proper divisors (89240328).

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

36195840 is a wasteful number, since it uses less digits than its factorization.

36195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 36195840 is about 6016.2978649665. The cubic root of 36195840 is about 330.7903919010.

The spelling of 36195840 in words is "thirty-six million, one hundred ninety-five thousand, eight hundred forty".