53759120 has 40 divisors (see below), whose sum is σ = 125315640. Its totient is φ = 21447680.

The previous prime is 53759071. The next prime is 53759129. The reversal of 53759120 is 2195735.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 46185616 = 2752^2 + 6796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (53759129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44930 + ... + 46110.

It is an arithmetic number, because the mean of its divisors is an integer number (3132891).

Almost surely, 2^53759120 is an apocalyptic number.

It is an amenable number.

53759120 is an abundant number, since it is smaller than the sum of its proper divisors (71556520).

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

53759120 is a wasteful number, since it uses less digits than its factorization.

53759120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 53759120 is about 7332.0611017640. The cubic root of 53759120 is about 377.4134591032.

The spelling of 53759120 in words is "fifty-three million, seven hundred fifty-nine thousand, one hundred twenty".