6734880 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 1794816.

The previous prime is 6734879. The next prime is 6734881. The reversal of 6734880 is 884376.

It is an interprime number because it is at equal distance from previous prime (6734879) and next prime (6734881).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6734880² = 90717217228800, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6734881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^6734880 is an apocalyptic number.

6734880 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 6734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

6734880 is an abundant number, since it is smaller than the sum of its proper divisors (16852320).

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

6734880 is a wasteful number, since it uses less digits than its factorization.

6734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6734880 is about 2595.1647346556. The cubic root of 6734880 is about 188.8469408323.

The spelling of 6734880 in words is "six million, seven hundred thirty-four thousand, eight hundred eighty".