6734144 has 28 divisors (see below), whose sum is σ = 13679424. Its totient is φ = 3287424.

The previous prime is 6734141. The next prime is 6734149. The reversal of 6734144 is 4414376.

6734144 = T₈₇ + T₈₈ + ... + T₃₄₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6734141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1529 + ... + 3975.

Almost surely, 2^6734144 is an apocalyptic number.

6734144 is a gapful number since it is divisible by the number (64) 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 6734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839712).

6734144 is an abundant number, since it is smaller than the sum of its proper divisors (6945280).

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

6734144 is a wasteful number, since it uses less digits than its factorization.

6734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2492 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 6734144 is about 2595.0229286078. The cubic root of 6734144 is about 188.8400614021.

The spelling of 6734144 in words is "six million, seven hundred thirty-four thousand, one hundred forty-four".