6834960 has 120 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 1655040.

The previous prime is 6834959. The next prime is 6834991. The reversal of 6834960 is 694386.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7489 + ... + 8351.

Almost surely, 2^6834960 is an apocalyptic number.

6834960 is a gapful number since it is divisible by the number (60) 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 6834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912).

6834960 is an abundant number, since it is smaller than the sum of its proper divisors (18234864).

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

6834960 is a wasteful number, since it uses less digits than its factorization.

6834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6834960 is about 2614.3756424814. The cubic root of 6834960 is about 189.7777641679. Note that the first 4 decimals are identical.

The spelling of 6834960 in words is "six million, eight hundred thirty-four thousand, nine hundred sixty".