5121920 has 64 divisors (see below), whose sum is σ = 12558240. Its totient is φ = 1996800.

The previous prime is 5121917. The next prime is 5121923. The reversal of 5121920 is 291215.

It is an interprime number because it is at equal distance from previous prime (5121917) and next prime (5121923).

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 5121892 and 5121901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121923) 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, 33845 + ... + 33995.

Almost surely, 2^5121920 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 5121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279120).

5121920 is an abundant number, since it is smaller than the sum of its proper divisors (7436320).

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

5121920 is a wasteful number, since it uses less digits than its factorization.

5121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 5121920 is about 2263.1659240984. The cubic root of 5121920 is about 172.3763168570.

The spelling of 5121920 in words is "five million, one hundred twenty-one thousand, nine hundred twenty".