36146080 has 96 divisors (see below), whose sum is σ = 92017296. Its totient is φ = 13369344.

The previous prime is 36146039. The next prime is 36146081. The reversal of 36146080 is 8064163.

It can be written as a sum of positive squares in 8 ways, for example, as 21492496 + 14653584 = 4636^2 + 3828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36146081) 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, 263772 + ... + 263908.

Almost surely, 2^36146080 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 36146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46008648).

36146080 is an abundant number, since it is smaller than the sum of its proper divisors (55871216).

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

36146080 is a wasteful number, since it uses less digits than its factorization.

36146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36146080 is about 6012.1610091547. The cubic root of 36146080 is about 330.6387383916.

The spelling of 36146080 in words is "thirty-six million, one hundred forty-six thousand, eighty".