4117320 has 48 divisors (see below), whose sum is σ = 13382460. Its totient is φ = 1097856.

The previous prime is 4117313. The next prime is 4117339. The reversal of 4117320 is 237114.

4117320 = T₂₈₀ + T₂₈₁ + ... + T₃₅₉.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 125316 = 1998^2 + 354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4117293 and 4117302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5359 + ... + 6078.

Almost surely, 2^4117320 is an apocalyptic number.

4117320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117320 is an abundant number, since it is smaller than the sum of its proper divisors (9265140).

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

4117320 is a wasteful number, since it uses less digits than its factorization.

4117320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4117320 is about 2029.1180350093. The cubic root of 4117320 is about 160.2771239042.

The spelling of 4117320 in words is "four million, one hundred seventeen thousand, three hundred twenty".