6412896 has 72 divisors (see below), whose sum is σ = 20848464. Its totient is φ = 1831680.

The previous prime is 6412873. The next prime is 6412897. The reversal of 6412896 is 6982146.

6412896 is a `hidden beast` number, since 641 + 2 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6412896² = 82250470213632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6412896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426 + ... + 3606.

It is an arithmetic number, because the mean of its divisors is an integer number (289562).

Almost surely, 2^6412896 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 6412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424232).

6412896 is an abundant number, since it is smaller than the sum of its proper divisors (14435568).

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

6412896 is a wasteful number, since it uses less digits than its factorization.

6412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3193 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6412896 is about 2532.3696412649. The cubic root of 6412896 is about 185.7881736986.

The spelling of 6412896 in words is "six million, four hundred twelve thousand, eight hundred ninety-six".