4917960 has 96 divisors (see below), whose sum is σ = 16848000. Its totient is φ = 1240704.

The previous prime is 4917943. The next prime is 4917967. The reversal of 4917960 is 697194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4917967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6481 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (175500).

Almost surely, 2^4917960 is an apocalyptic number.

4917960 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 4917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

4917960 is an abundant number, since it is smaller than the sum of its proper divisors (11930040).

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

4917960 is a wasteful number, since it uses less digits than its factorization.

4917960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4917960 is about 2217.6474020908. The cubic root of 4917960 is about 170.0571895246.

The spelling of 4917960 in words is "four million, nine hundred seventeen thousand, nine hundred sixty".