36985104 has 120 divisors (see below), whose sum is σ = 116450880. Its totient is φ = 10872576.

The previous prime is 36985061. The next prime is 36985129. The reversal of 36985104 is 40158963.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42627 + ... + 43485.

It is an arithmetic number, because the mean of its divisors is an integer number (970424).

Almost surely, 2^36985104 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 36985104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58225440).

36985104 is an abundant number, since it is smaller than the sum of its proper divisors (79465776).

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

36985104 is a wasteful number, since it uses less digits than its factorization.

36985104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 36985104 is about 6081.5379633774. The cubic root of 36985104 is about 333.1774613454.

The spelling of 36985104 in words is "thirty-six million, nine hundred eighty-five thousand, one hundred four".