4312080 has 120 divisors (see below), whose sum is σ = 14885208. Its totient is φ = 1118208.

The previous prime is 4312079. The next prime is 4312103. The reversal of 4312080 is 802134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 4260096 = 228^2 + 2064^2 .

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38104 + ... + 38216.

Almost surely, 2^4312080 is an apocalyptic number.

4312080 is a gapful number since it is divisible by the number (40) 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 4312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442604).

4312080 is an abundant number, since it is smaller than the sum of its proper divisors (10573128).

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

4312080 is a wasteful number, since it uses less digits than its factorization.

4312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4312080 is about 2076.5548391507. The cubic root of 4312080 is about 162.7654674647.

The spelling of 4312080 in words is "four million, three hundred twelve thousand, eighty".