46566656 has 36 divisors (see below), whose sum is σ = 93923844. Its totient is φ = 23040000.

The previous prime is 46566643. The next prime is 46566673. The reversal of 46566656 is 65666564.

It can be written as a sum of positive squares in 2 ways, for example, as 27206656 + 19360000 = 5216^2 + 4400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24956 + ... + 26756.

Almost surely, 2^46566656 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 46566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46961922).

46566656 is an abundant number, since it is smaller than the sum of its proper divisors (47357188).

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

46566656 is a wasteful number, since it uses less digits than its factorization.

46566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1904 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The square root of 46566656 is about 6823.9765533009. The cubic root of 46566656 is about 359.7700589234.

The spelling of 46566656 in words is "forty-six million, five hundred sixty-six thousand, six hundred fifty-six".