5235120 has 120 divisors (see below), whose sum is σ = 19208592. Its totient is φ = 1267200.

The previous prime is 5235091. The next prime is 5235137. The reversal of 5235120 is 215325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 5235093 and 5235102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7590 + ... + 8250.

Almost surely, 2^5235120 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 5235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604296).

5235120 is an abundant number, since it is smaller than the sum of its proper divisors (13973472).

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

5235120 is a wasteful number, since it uses less digits than its factorization.

5235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5235120 is about 2288.0384612152. The cubic root of 5235120 is about 173.6369759912.

The spelling of 5235120 in words is "five million, two hundred thirty-five thousand, one hundred twenty".