6535920 has 80 divisors (see below), whose sum is σ = 20525472. Its totient is φ = 1720320.

The previous prime is 6535901. The next prime is 6535927. The reversal of 6535920 is 295356.

6535920 is a nontrivial binomial coefficient, being equal to C(3616, 2).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6535927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27000 + ... + 27240.

Almost surely, 2^6535920 is an apocalyptic number.

6535920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6535920 is the 3615-th triangular number and also the 1808-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262736).

6535920 is an abundant number, since it is smaller than the sum of its proper divisors (13989552).

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

6535920 is a wasteful number, since it uses less digits than its factorization.

6535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 6535920 is about 2556.5445429329. The cubic root of 6535920 is about 186.9687003769.

The spelling of 6535920 in words is "six million, five hundred thirty-five thousand, nine hundred twenty".