4917120 has 128 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 1204224.

The previous prime is 4917113. The next prime is 4917139. The reversal of 4917120 is 217194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×4917120⁴ (a number of 28 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24862 + ... + 25058.

Almost surely, 2^4917120 is an apocalyptic number.

4917120 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 4917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

4917120 is an abundant number, since it is smaller than the sum of its proper divisors (12047520).

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

4917120 is a wasteful number, since it uses less digits than its factorization.

4917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 4917120 is about 2217.4580041119. The cubic root of 4917120 is about 170.0475069074.

The spelling of 4917120 in words is "four million, nine hundred seventeen thousand, one hundred twenty".