6735120 has 160 divisors (see below), whose sum is σ = 25236480. Its totient is φ = 1451520.

The previous prime is 6735107. The next prime is 6735151. The reversal of 6735120 is 215376.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31815 + ... + 32025.

It is an arithmetic number, because the mean of its divisors is an integer number (157728).

Almost surely, 2^6735120 is an apocalyptic number.

6735120 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 6735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618240).

6735120 is an abundant number, since it is smaller than the sum of its proper divisors (18501360).

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

6735120 is a wasteful number, since it uses less digits than its factorization.

6735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 6735120 is about 2595.2109740828. The cubic root of 6735120 is about 188.8491840164.

The spelling of 6735120 in words is "six million, seven hundred thirty-five thousand, one hundred twenty".