6517920 has 96 divisors (see below), whose sum is σ = 21143808. Its totient is φ = 1686528.

The previous prime is 6517891. The next prime is 6517921. The reversal of 6517920 is 297156.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6517920² = 84966562252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6517921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17577 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (220248).

Almost surely, 2^6517920 is an apocalyptic number.

6517920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571904).

6517920 is an abundant number, since it is smaller than the sum of its proper divisors (14625888).

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

6517920 is a wasteful number, since it uses less digits than its factorization.

6517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 6517920 is about 2553.0217390379. The cubic root of 6517920 is about 186.7969045763.

The spelling of 6517920 in words is "six million, five hundred seventeen thousand, nine hundred twenty".