4292160 has 112 divisors (see below), whose sum is σ = 14484096. Its totient is φ = 1073152.

The previous prime is 4292159. The next prime is 4292161. The reversal of 4292160 is 612924.

It is an interprime number because it is at equal distance from previous prime (4292159) and next prime (4292161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4292160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292161) 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, 16189 + ... + 16451.

Almost surely, 2^4292160 is an apocalyptic number.

4292160 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 4292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242048).

4292160 is an abundant number, since it is smaller than the sum of its proper divisors (10191936).

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

4292160 is a wasteful number, since it uses less digits than its factorization.

4292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4292160 is about 2071.7528810165. The cubic root of 4292160 is about 162.5144444754.

The spelling of 4292160 in words is "four million, two hundred ninety-two thousand, one hundred sixty".