4197960 has 192 divisors, whose sum is σ = 15811200. Its totient is φ = 988416.

The previous prime is 4197923. The next prime is 4197967. The reversal of 4197960 is 697914.

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

It is not an unprimeable number, because it can be changed into a prime (4197967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182509 + ... + 182531.

It is an arithmetic number, because the mean of its divisors is an integer number (82350).

Almost surely, 2^4197960 is an apocalyptic number.

4197960 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 4197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905600).

4197960 is an abundant number, since it is smaller than the sum of its proper divisors (11613240).

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

4197960 is a wasteful number, since it uses less digits than its factorization.

4197960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4197960 is about 2048.8923837039. The cubic root of 4197960 is about 161.3167381939.

The spelling of 4197960 in words is "four million, one hundred ninety-seven thousand, nine hundred sixty".