53766720 has 336 divisors, whose sum is σ = 222382080. Its totient is φ = 12192768.

The previous prime is 53766719. The next prime is 53766737. The reversal of 53766720 is 2766735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423297 + ... + 423423.

Almost surely, 2^53766720 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 53766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111191040).

53766720 is an abundant number, since it is smaller than the sum of its proper divisors (168615360).

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

53766720 is a wasteful number, since it uses less digits than its factorization.

53766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 53766720 is about 7332.5793551792. The cubic root of 53766720 is about 377.4312434167.

The spelling of 53766720 in words is "fifty-three million, seven hundred sixty-six thousand, seven hundred twenty".