53766000 has 240 divisors, whose sum is σ = 196148160. Its totient is φ = 13708800.

The previous prime is 53765993. The next prime is 53766001. The reversal of 53766000 is 66735.

53766000 is a `hidden beast` number, since 53 + 7 + 6 + 600 + 0 = 666.

53766000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53766001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 521949 + ... + 522051.

It is an arithmetic number, because the mean of its divisors is an integer number (817284).

Almost surely, 2^53766000 is an apocalyptic number.

53766000 is a gapful number since it is divisible by the number (50) 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 53766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98074080).

53766000 is an abundant number, since it is smaller than the sum of its proper divisors (142382160).

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

53766000 is a wasteful number, since it uses less digits than its factorization.

53766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 53766000 is about 7332.5302590579. The cubic root of 53766000 is about 377.4295586589.

The spelling of 53766000 in words is "fifty-three million, seven hundred sixty-six thousand".