4194320 has 80 divisors (see below), whose sum is σ = 10884720. Its totient is φ = 1492992.

The previous prime is 4194319. The next prime is 4194329. The reversal of 4194320 is 234914.

It can be written as a sum of positive squares in 8 ways, for example, as 16384 + 4177936 = 128^2 + 2044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38426 + ... + 38534.

It is an arithmetic number, because the mean of its divisors is an integer number (136059).

Almost surely, 2^4194320 is an apocalyptic number.

4194320 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 4194320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442360).

4194320 is an abundant number, since it is smaller than the sum of its proper divisors (6690400).

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

4194320 is a wasteful number, since it uses less digits than its factorization.

4194320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4194320 is about 2048.0039062463. The cubic root of 4194320 is about 161.2700994516.

The spelling of 4194320 in words is "four million, one hundred ninety-four thousand, three hundred twenty".