4296864 has 96 divisors (see below), whose sum is σ = 13293504. Its totient is φ = 1198080.

The previous prime is 4296863. The next prime is 4296893. The reversal of 4296864 is 4686924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4296863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13572 + ... + 13884.

It is an arithmetic number, because the mean of its divisors is an integer number (138474).

Almost surely, 2^4296864 is an apocalyptic number.

4296864 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 4296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646752).

4296864 is an abundant number, since it is smaller than the sum of its proper divisors (8996640).

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

4296864 is a wasteful number, since it uses less digits than its factorization.

4296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

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

The square root of 4296864 is about 2072.8878406706. The cubic root of 4296864 is about 162.5737921266.

It can be divided in two parts, 429 and 6864, that multiplied together give a square (2944656 = 1716²).

The spelling of 4296864 in words is "four million, two hundred ninety-six thousand, eight hundred sixty-four".