4198760 has 32 divisors (see below), whose sum is σ = 9705960. Its totient is φ = 1633536.

The previous prime is 4198759. The next prime is 4198763. The reversal of 4198760 is 678914.

It can be written as a sum of positive squares in 4 ways, for example, as 3104644 + 1094116 = 1762^2 + 1046^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4198760.

It is not an unprimeable number, because it can be changed into a prime (4198763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 2898.

Almost surely, 2^4198760 is an apocalyptic number.

4198760 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 4198760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852980).

4198760 is an abundant number, since it is smaller than the sum of its proper divisors (5507200).

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

4198760 is a wasteful number, since it uses less digits than its factorization.

4198760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 4198760 is about 2049.0876018365. The cubic root of 4198760 is about 161.3269848529.

The spelling of 4198760 in words is "four million, one hundred ninety-eight thousand, seven hundred sixty".