36235280 has 80 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 13271040.

The previous prime is 36235273. The next prime is 36235289. The reversal of 36235280 is 8253263.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36235289) 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, 46736 + ... + 47504.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^36235280 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 36235280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

36235280 is an abundant number, since it is smaller than the sum of its proper divisors (55425520).

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

36235280 is a wasteful number, since it uses less digits than its factorization.

36235280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 36235280 is about 6019.5747358098. The cubic root of 36235280 is about 330.9104944447.

The spelling of 36235280 in words is "thirty-six million, two hundred thirty-five thousand, two hundred eighty".