53910 has 24 divisors (see below), whose sum is σ = 140400. Its totient is φ = 14352.

The previous prime is 53899. The next prime is 53917. The reversal of 53910 is 1935.

53910 = 31² + 32² + ... + 57².

53910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53917) by changing a digit.

53910 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁵³⁹¹⁰ is an apocalyptic number.

53910 is an abundant number, since it is smaller than the sum of its proper divisors (86490).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200).

53910 is a wasteful number, since it uses less digits than its factorization.

53910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 53910 is about 232.1852708507. The cubic root of 53910 is about 37.7766211359.

Adding to 53910 its product of nonzero digits (135), we get a palindrome (54045).

The spelling of 53910 in words is "fifty-three thousand, nine hundred ten".