6735456 has 144 divisors (see below), whose sum is σ = 23665824. Its totient is φ = 1769472.

The previous prime is 6735433. The next prime is 6735467. The reversal of 6735456 is 6545376.

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 self number, because there is not a number n which added to its sum of digits gives 6735456.

It is a congruent number.

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, 26080 + ... + 26336.

It is an arithmetic number, because the mean of its divisors is an integer number (164346).

Almost surely, 2^6735456 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 6735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832912).

6735456 is an abundant number, since it is smaller than the sum of its proper divisors (16930368).

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

6735456 is a wasteful number, since it uses less digits than its factorization.

6735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 6735456 is about 2595.2757078969. The cubic root of 6735456 is about 188.8523243847.

The spelling of 6735456 in words is "six million, seven hundred thirty-five thousand, four hundred fifty-six".