4198176 has 96 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1354752.

The previous prime is 4198141. The next prime is 4198211. The reversal of 4198176 is 6718914.

It is an interprime number because it is at equal distance from previous prime (4198141) and next prime (4198211).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4198176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37096 + ... + 37208.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 2^4198176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

4198176 is an abundant number, since it is smaller than the sum of its proper divisors (8442144).

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

4198176 is a wasteful number, since it uses less digits than its factorization.

4198176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 4198176 is about 2048.9450944327. The cubic root of 4198176 is about 161.3195049201.

The spelling of 4198176 in words is "four million, one hundred ninety-eight thousand, one hundred seventy-six".