36661680 has 160 divisors (see below), whose sum is σ = 137848320. Its totient is φ = 8881920.

The previous prime is 36661679. The next prime is 36661699. The reversal of 36661680 is 8616663.

36661680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 22989 + ... + 24531.

It is an arithmetic number, because the mean of its divisors is an integer number (861552).

Almost surely, 2^36661680 is an apocalyptic number.

36661680 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 36661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68924160).

36661680 is an abundant number, since it is smaller than the sum of its proper divisors (101186640).

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

36661680 is a wasteful number, since it uses less digits than its factorization.

36661680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36661680 is about 6054.8889337460. Note that the first 3 decimals coincide. The cubic root of 36661680 is about 332.2034365495.

The spelling of 36661680 in words is "thirty-six million, six hundred sixty-one thousand, six hundred eighty".