6416256 has 192 divisors, whose sum is σ = 22325760. Its totient is φ = 1612800.

The previous prime is 6416251. The next prime is 6416257. The reversal of 6416256 is 6526146.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (8640) is a multiple of the sum of its prime divisors (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206961 + ... + 206991.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 2^6416256 is an apocalyptic number.

6416256 is a gapful number since it is divisible by the number (66) 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 6416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

6416256 is an abundant number, since it is smaller than the sum of its proper divisors (15909504).

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

6416256 is a wasteful number, since it uses less digits than its factorization.

6416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 6416256 is about 2533.0329646493. The cubic root of 6416256 is about 185.8206155819.

The spelling of 6416256 in words is "six million, four hundred sixteen thousand, two hundred fifty-six".