36661520 has 80 divisors (see below), whose sum is σ = 103171968. Its totient is φ = 11827200.

The previous prime is 36661519. The next prime is 36661543. The reversal of 36661520 is 2516663.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7595 + ... + 11445.

Almost surely, 2^36661520 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 36661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585984).

36661520 is an abundant number, since it is smaller than the sum of its proper divisors (66510448).

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

36661520 is a wasteful number, since it uses less digits than its factorization.

36661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 36661520 is about 6054.8757212679. The cubic root of 36661520 is about 332.2029532781.

The spelling of 36661520 in words is "thirty-six million, six hundred sixty-one thousand, five hundred twenty".