4148160 has 112 divisors (see below), whose sum is σ = 13716000. Its totient is φ = 1060864.

The previous prime is 4148159. The next prime is 4148161. The reversal of 4148160 is 618414.

It is an interprime number because it is at equal distance from previous prime (4148159) and next prime (4148161).

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 4148160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148161) 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, 27766 + ... + 27914.

Almost surely, 2^4148160 is an apocalyptic number.

4148160 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 4148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858000).

4148160 is an abundant number, since it is smaller than the sum of its proper divisors (9567840).

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

4148160 is a wasteful number, since it uses less digits than its factorization.

4148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4148160 is about 2036.7032184391. The cubic root of 4148160 is about 160.6763039698.

The spelling of 4148160 in words is "four million, one hundred forty-eight thousand, one hundred sixty".