36638640 has 120 divisors (see below), whose sum is σ = 124227168. Its totient is φ = 9676800.

The previous prime is 36638639. The next prime is 36638681. The reversal of 36638640 is 4683663.

36638640 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 8 + 640 = 666.

36638640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 36638595 and 36638604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108552 + ... + 108888.

Almost surely, 2^36638640 is an apocalyptic number.

36638640 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 36638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62113584).

36638640 is an abundant number, since it is smaller than the sum of its proper divisors (87588528).

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

36638640 is a wasteful number, since it uses less digits than its factorization.

36638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

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

The square root of 36638640 is about 6052.9860399641. The cubic root of 36638640 is about 332.1338309821.

The spelling of 36638640 in words is "thirty-six million, six hundred thirty-eight thousand, six hundred forty".