66536520 has 64 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 17611008.

The previous prime is 66536479. The next prime is 66536551. The reversal of 66536520 is 2563566.

66536520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 14686 + ... + 18674.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 2^66536520 is an apocalyptic number.

66536520 is a gapful number since it is divisible by the number (60) 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 66536520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

66536520 is an abundant number, since it is smaller than the sum of its proper divisors (134559480).

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

66536520 is a wasteful number, since it uses less digits than its factorization.

66536520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 66536520 is about 8156.9920926773. The cubic root of 66536520 is about 405.2161017111.

It can be divided in two parts, 66 and 536520, that multiplied together give a triangular number (35410320 = T₈₄₁₅).

The spelling of 66536520 in words is "sixty-six million, five hundred thirty-six thousand, five hundred twenty".