4286964 has 48 divisors (see below), whose sum is σ = 11160576. Its totient is φ = 1269600.

The previous prime is 4286957. The next prime is 4286969. The reversal of 4286964 is 4696824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (232512).

Almost surely, 2^4286964 is an apocalyptic number.

4286964 is a gapful number since it is divisible by the number (44) 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 4286964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580288).

4286964 is an abundant number, since it is smaller than the sum of its proper divisors (6873612).

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

4286964 is a wasteful number, since it uses less digits than its factorization.

4286964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 754 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 4286964 is about 2070.4984907022. The cubic root of 4286964 is about 162.4488391212.

The spelling of 4286964 in words is "four million, two hundred eighty-six thousand, nine hundred sixty-four".