6406512 has 80 divisors (see below), whose sum is σ = 19760640. Its totient is φ = 1748736.

The previous prime is 6406507. The next prime is 6406529. The reversal of 6406512 is 2156046.

It is a super-2 number, since 2×6406512² = 82086792012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7314 + ... + 8142.

It is an arithmetic number, because the mean of its divisors is an integer number (247008).

Almost surely, 2^6406512 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 6406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880320).

6406512 is an abundant number, since it is smaller than the sum of its proper divisors (13354128).

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

6406512 is a wasteful number, since it uses less digits than its factorization.

6406512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6406512 is about 2531.1088479163. The cubic root of 6406512 is about 185.7265028875.

The spelling of 6406512 in words is "six million, four hundred six thousand, five hundred twelve".