36688641 has 16 divisors (see below), whose sum is σ = 53576640. Its totient is φ = 22147520.

The previous prime is 36688609. The next prime is 36688643. The reversal of 36688641 is 14688663.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 36688641 - 2⁵ = 36688609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36688593 and 36688602.

It is not an unprimeable number, because it can be changed into a prime (36688643) 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, 6811 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (3348540).

Almost surely, 2^36688641 is an apocalyptic number.

It is an amenable number.

36688641 is a deficient number, since it is larger than the sum of its proper divisors (16887999).

36688641 is a wasteful number, since it uses less digits than its factorization.

36688641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416.

The product of its digits is 165888, while the sum is 42.

The square root of 36688641 is about 6057.1149072805. The cubic root of 36688641 is about 332.2848507328.

The spelling of 36688641 in words is "thirty-six million, six hundred eighty-eight thousand, six hundred forty-one".