6134688 has 144 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1640448.

The previous prime is 6134659. The next prime is 6134699. The reversal of 6134688 is 8864316.

It is a happy number.

6134688 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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.

6134688 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34183 + ... + 34361.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^6134688 is an apocalyptic number.

6134688 is a gapful number since it is divisible by the number (68) 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 6134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6134688 is an abundant number, since it is smaller than the sum of its proper divisors (15093792).

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

6134688 is a wasteful number, since it uses less digits than its factorization.

6134688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6134688 is about 2476.8302323736. The cubic root of 6134688 is about 183.0617009537.

The spelling of 6134688 in words is "six million, one hundred thirty-four thousand, six hundred eighty-eight".