6211296 has 192 divisors, whose sum is σ = 22579200. Its totient is φ = 1617408.

The previous prime is 6211291. The next prime is 6211297. The reversal of 6211296 is 6921126.

6211296 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6211291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78585 + ... + 78663.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^6211296 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 6211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

6211296 is an abundant number, since it is smaller than the sum of its proper divisors (16367904).

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

6211296 is a wasteful number, since it uses less digits than its factorization.

6211296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

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

The square root of 6211296 is about 2492.2471787525. The cubic root of 6211296 is about 183.8205559949.

The spelling of 6211296 in words is "six million, two hundred eleven thousand, two hundred ninety-six".