5205120 has 64 divisors (see below), whose sum is σ = 16597440. Its totient is φ = 1387520.

The previous prime is 5205113. The next prime is 5205127. The reversal of 5205120 is 215025.

It is an interprime number because it is at equal distance from previous prime (5205113) and next prime (5205127).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5205120.

It is not an unprimeable number, because it can be changed into a prime (5205127) 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, 565 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (259335).

Almost surely, 2^5205120 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 5205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298720).

5205120 is an abundant number, since it is smaller than the sum of its proper divisors (11392320).

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

5205120 is a wasteful number, since it uses less digits than its factorization.

5205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5205120 is about 2281.4732082582. The cubic root of 5205120 is about 173.3046632397.

The spelling of 5205120 in words is "five million, two hundred five thousand, one hundred twenty".