45766656 has 144 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 14008320.

The previous prime is 45766627. The next prime is 45766657. The reversal of 45766656 is 65666754.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45766657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239521 + ... + 239711.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^45766656 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 45766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

45766656 is an abundant number, since it is smaller than the sum of its proper divisors (97329024).

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

45766656 is a wasteful number, since it uses less digits than its factorization.

45766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 45766656 is about 6765.1057641400. The cubic root of 45766656 is about 357.6979027167.

The spelling of 45766656 in words is "forty-five million, seven hundred sixty-six thousand, six hundred fifty-six".