4294656 has 72 divisors (see below), whose sum is σ = 12456990. Its totient is φ = 1425408.

The previous prime is 4294649. The next prime is 4294657. The reversal of 4294656 is 6564924.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 230400 = 2016^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4294656.

It is not an unprimeable number, because it can be changed into a prime (4294657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18316 + ... + 18548.

Almost surely, 2^4294656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228495).

4294656 is an abundant number, since it is smaller than the sum of its proper divisors (8162334).

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

4294656 is a wasteful number, since it uses less digits than its factorization.

4294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4294656 is about 2072.3551819126. The cubic root of 4294656 is about 162.5459404626.

It can be divided in two parts, 4294 and 656, that added together give a triangular number (4950 = T₉₉).

The spelling of 4294656 in words is "four million, two hundred ninety-four thousand, six hundred fifty-six".