36104640 has 224 divisors, whose sum is σ = 135184896. Its totient is φ = 8048640.

The previous prime is 36104603. The next prime is 36104669. The reversal of 36104640 is 4640163.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36104640.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137149 + ... + 137411.

It is an arithmetic number, because the mean of its divisors is an integer number (603504).

Almost surely, 2^36104640 is an apocalyptic number.

36104640 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 36104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

36104640 is an abundant number, since it is smaller than the sum of its proper divisors (99080256).

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

36104640 is a wasteful number, since it uses less digits than its factorization.

36104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36104640 is about 6008.7136726591. The cubic root of 36104640 is about 330.5123354844.

The spelling of 36104640 in words is "thirty-six million, one hundred four thousand, six hundred forty".