4170960 has 80 divisors (see below), whose sum is σ = 14374080. Its totient is φ = 1111680.

The previous prime is 4170953. The next prime is 4170977. The reversal of 4170960 is 690714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1195 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

Almost surely, 2^4170960 is an apocalyptic number.

4170960 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 4170960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187040).

4170960 is an abundant number, since it is smaller than the sum of its proper divisors (10203120).

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

4170960 is a wasteful number, since it uses less digits than its factorization.

4170960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4170960 is about 2042.2928291506. The cubic root of 4170960 is about 160.9701473655.

The spelling of 4170960 in words is "four million, one hundred seventy thousand, nine hundred sixty".