4185960 has 32 divisors (see below), whose sum is σ = 12558240. Its totient is φ = 1116224.

The previous prime is 4185953. The next prime is 4185967. The reversal of 4185960 is 695814.

It is an interprime number because it is at equal distance from previous prime (4185953) and next prime (4185967).

It is a super-2 number, since 2×4185960² = 35044522243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4185967) 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, 17322 + ... + 17561.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 2^4185960 is an apocalyptic number.

4185960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4185960 is an abundant number, since it is smaller than the sum of its proper divisors (8372280).

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

4185960 is a wasteful number, since it uses less digits than its factorization.

4185960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34897 (or 34893 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4185960 is about 2045.9618764777. The cubic root of 4185960 is about 161.1628818519.

The spelling of 4185960 in words is "four million, one hundred eighty-five thousand, nine hundred sixty".