6442176 has 112 divisors (see below), whose sum is σ = 19202400. Its totient is φ = 1892352.

The previous prime is 6442169. The next prime is 6442223. The reversal of 6442176 is 6712446.

It is a super-2 number, since 2×6442176² = 83003263229952, which contains 22 as substring.

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, 72340 + ... + 72428.

It is an arithmetic number, because the mean of its divisors is an integer number (171450).

Almost surely, 2^6442176 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 6442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601200).

6442176 is an abundant number, since it is smaller than the sum of its proper divisors (12760224).

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

6442176 is a wasteful number, since it uses less digits than its factorization.

6442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 6442176 is about 2538.1442039411. The cubic root of 6442176 is about 186.0705016584.

It can be divided in two parts, 6 and 442176, that multiplied together give a triangular number (2653056 = T₂₃₀₃).

The spelling of 6442176 in words is "six million, four hundred forty-two thousand, one hundred seventy-six".