36641080 has 64 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 12435072.

The previous prime is 36641057. The next prime is 36641081. The reversal of 36641080 is 8014663.

36641080 is a nontrivial binomial coefficient, being equal to C(8561, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36641081) 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, 29349 + ... + 30571.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^36641080 is an apocalyptic number.

36641080 is the 8560-th triangular number.

36641080 is the 2854-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36641080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

36641080 is an abundant number, since it is smaller than the sum of its proper divisors (58537160).

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

36641080 is a wasteful number, since it uses less digits than its factorization.

36641080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

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

The square root of 36641080 is about 6053.1875900223. The cubic root of 36641080 is about 332.1412037863.

The spelling of 36641080 in words is "thirty-six million, six hundred forty-one thousand, eighty".