36123280 has 20 divisors (see below), whose sum is σ = 83986812. Its totient is φ = 14449280.

The previous prime is 36123259. The next prime is 36123287. The reversal of 36123280 is 8232163.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 16516096 = 4428^2 + 4064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (36123287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225691 + ... + 225850.

Almost surely, 2^36123280 is an apocalyptic number.

It is an amenable number.

36123280 is an abundant number, since it is smaller than the sum of its proper divisors (47863532).

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

36123280 is a wasteful number, since it uses less digits than its factorization.

36123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451554 (or 451548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 36123280 is about 6010.2645532456. The cubic root of 36123280 is about 330.5692043524.

The spelling of 36123280 in words is "thirty-six million, one hundred twenty-three thousand, two hundred eighty".