6412672 has 64 divisors (see below), whose sum is σ = 15495840. Its totient is φ = 2580480.

The previous prime is 6412669. The next prime is 6412739. The reversal of 6412672 is 2762146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6412672² = 82244724359168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6412672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15022 + ... + 15442.

Almost surely, 2^6412672 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 6412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747920).

6412672 is an abundant number, since it is smaller than the sum of its proper divisors (9083168).

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

6412672 is a wasteful number, since it uses less digits than its factorization.

6412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 6412672 is about 2532.3254135280. The cubic root of 6412672 is about 185.7860105035.

The spelling of 6412672 in words is "six million, four hundred twelve thousand, six hundred seventy-two".