4193920 has 32 divisors (see below), whose sum is σ = 10027620. Its totient is φ = 1677312.

The previous prime is 4193909. The next prime is 4193929. The reversal of 4193920 is 293914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 97344 = 2024^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4193929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637 + ... + 3916.

Almost surely, 2^4193920 is an apocalyptic number.

4193920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4193920 is an abundant number, since it is smaller than the sum of its proper divisors (5833700).

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

4193920 is an equidigital number, since it uses as much as digits as its factorization.

4193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4193920 is about 2047.9062478541. The cubic root of 4193920 is about 161.2649726697.

It can be divided in two parts, 41 and 93920, that added together give a triangular number (93961 = T₄₃₃).

The spelling of 4193920 in words is "four million, one hundred ninety-three thousand, nine hundred twenty".