53161920 has 280 divisors, whose sum is σ = 216859104. Its totient is φ = 12109824.

The previous prime is 53161903. The next prime is 53161921. The reversal of 53161920 is 2916135.

53161920 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 (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53161921) 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 39 ways as a sum of consecutive naturals, for example, 181294 + ... + 181586.

Almost surely, 2^53161920 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 53161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429552).

53161920 is an abundant number, since it is smaller than the sum of its proper divisors (163697184).

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

53161920 is a wasteful number, since it uses less digits than its factorization.

53161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 53161920 is about 7291.2221197821. Note that the first 3 decimals coincide. The cubic root of 53161920 is about 376.0107134415.

The spelling of 53161920 in words is "fifty-three million, one hundred sixty-one thousand, nine hundred twenty".