6411960 has 80 divisors (see below), whose sum is σ = 21562200. Its totient is φ = 1708992.

The previous prime is 6411953. The next prime is 6411961. The reversal of 6411960 is 691146.

6411960 is a `hidden beast` number, since 641 + 19 + 6 + 0 = 666.

It is a super-2 number, since 2×6411960² = 82226462083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2251 + ... + 4229.

Almost surely, 2^6411960 is an apocalyptic number.

6411960 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 6411960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781100).

6411960 is an abundant number, since it is smaller than the sum of its proper divisors (15150240).

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

6411960 is a wasteful number, since it uses less digits than its factorization.

6411960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6411960 is about 2532.1848273773. The cubic root of 6411960 is about 185.7791342989.

It can be divided in two parts, 641 and 1960, that added together give a square (2601 = 51²).

The spelling of 6411960 in words is "six million, four hundred eleven thousand, nine hundred sixty".