4176960 has 112 divisors (see below), whose sum is σ = 14020800. Its totient is φ = 1050624.

The previous prime is 4176947. The next prime is 4176973. The reversal of 4176960 is 696714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4176947) and next prime (4176973).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 18126 + ... + 18354.

Almost surely, 2^4176960 is an apocalyptic number.

4176960 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 4176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010400).

4176960 is an abundant number, since it is smaller than the sum of its proper divisors (9843840).

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

4176960 is a wasteful number, since it uses less digits than its factorization.

4176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4176960 is about 2043.7612385012. The cubic root of 4176960 is about 161.0472965220.

The spelling of 4176960 in words is "four million, one hundred seventy-six thousand, nine hundred sixty".