36803664 has 60 divisors (see below), whose sum is σ = 103838592. Its totient is φ = 12168000.

The previous prime is 36803629. The next prime is 36803671. The reversal of 36803664 is 46630863.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17889 + ... + 19839.

Almost surely, 2^36803664 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 36803664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51919296).

36803664 is an abundant number, since it is smaller than the sum of its proper divisors (67034928).

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

36803664 is a wasteful number, since it uses less digits than its factorization.

36803664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36803664 is about 6066.6023439813. The cubic root of 36803664 is about 332.6317385526.

The spelling of 36803664 in words is "thirty-six million, eight hundred three thousand, six hundred sixty-four".