53861760 has 160 divisors (see below), whose sum is σ = 192535200. Its totient is φ = 14349312.

The previous prime is 53861747. The next prime is 53861761. The reversal of 53861760 is 6716835.

53861760 is a `hidden beast` number, since 5 + 38 + 617 + 6 + 0 = 666.

53861760 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 (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53861761) 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 19 ways as a sum of consecutive naturals, for example, 51321 + ... + 52359.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 2^53861760 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 53861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96267600).

53861760 is an abundant number, since it is smaller than the sum of its proper divisors (138673440).

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

53861760 is a wasteful number, since it uses less digits than its factorization.

53861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53861760 is about 7339.0571601535. The cubic root of 53861760 is about 377.6534995536.

The spelling of 53861760 in words is "fifty-three million, eight hundred sixty-one thousand, seven hundred sixty".