53766306 has 48 divisors (see below), whose sum is σ = 127595520. Its totient is φ = 16227360.

The previous prime is 53766299. The next prime is 53766311. The reversal of 53766306 is 60366735.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 75480 + ... + 76188.

It is an arithmetic number, because the mean of its divisors is an integer number (2658240).

Almost surely, 2^53766306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53766306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63797760).

53766306 is an abundant number, since it is smaller than the sum of its proper divisors (73829214).

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

53766306 is a wasteful number, since it uses less digits than its factorization.

53766306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 53766306 is about 7332.5511249496. The cubic root of 53766306 is about 377.4302746828.

The spelling of 53766306 in words is "fifty-three million, seven hundred sixty-six thousand, three hundred six".