4296960 has 108 divisors (see below), whose sum is σ = 14906892. Its totient is φ = 1142784.

The previous prime is 4296917. The next prime is 4296973. The reversal of 4296960 is 696924.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 2359296 = 1392^2 + 1536^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11334 + ... + 11706.

Almost surely, 2^4296960 is an apocalyptic number.

4296960 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 4296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453446).

4296960 is an abundant number, since it is smaller than the sum of its proper divisors (10609932).

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

4296960 is a wasteful number, since it uses less digits than its factorization.

4296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4296960 is about 2072.9109966422. The cubic root of 4296960 is about 162.5750028520.

Subtracting from 4296960 its sum of digits (36), we obtain a palindrome (4296924).

The spelling of 4296960 in words is "four million, two hundred ninety-six thousand, nine hundred sixty".