36642690 has 96 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 8368416.

The previous prime is 36642679. The next prime is 36642707. The reversal of 36642690 is 9624663.

36642690 is a `hidden beast` number, since 3 + 6 + 642 + 6 + 9 + 0 = 666.

36642690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36642690² = 2685373460872200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 30277 + ... + 31463.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^36642690 is an apocalyptic number.

36642690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36642690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

36642690 is an abundant number, since it is smaller than the sum of its proper divisors (74554110).

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

36642690 is a wasteful number, since it uses less digits than its factorization.

36642690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36642690 is about 6053.3205763449. The cubic root of 36642690 is about 332.1460684492.

The spelling of 36642690 in words is "thirty-six million, six hundred forty-two thousand, six hundred ninety".