66056736 has 48 divisors (see below), whose sum is σ = 180944064. Its totient is φ = 21060864.

The previous prime is 66056723. The next prime is 66056741. The reversal of 66056736 is 63765066.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 66056694 and 66056703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12751 + ... + 17166.

It is an arithmetic number, because the mean of its divisors is an integer number (3769668).

Almost surely, 2^66056736 is an apocalyptic number.

It is an amenable number.

66056736 is an abundant number, since it is smaller than the sum of its proper divisors (114887328).

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

66056736 is a wasteful number, since it uses less digits than its factorization.

66056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29953 (or 29945 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 66056736 is about 8127.5295139421. The cubic root of 66056736 is about 404.2397687920.

The spelling of 66056736 in words is "sixty-six million, fifty-six thousand, seven hundred thirty-six".