4192160 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1354752.

The previous prime is 4192157. The next prime is 4192163. The reversal of 4192160 is 612914.

4192160 = T₈ + T₉ + ... + T₂₉₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4192157) and next prime (4192163).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4192163) 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, 21182 + ... + 21378.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^4192160 is an apocalyptic number.

4192160 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 4192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4192160 is an abundant number, since it is smaller than the sum of its proper divisors (7782880).

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

4192160 is a wasteful number, since it uses less digits than its factorization.

4192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 4192160 is about 2047.4764955916. The cubic root of 4192160 is about 161.2424109563.

The spelling of 4192160 in words is "four million, one hundred ninety-two thousand, one hundred sixty".