4127664 has 40 divisors (see below), whose sum is σ = 10771632. Its totient is φ = 1361920.

The previous prime is 4127659. The next prime is 4127707. The reversal of 4127664 is 4667214.

It is a super-2 number, since 2×4127664² = 34075220193792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5044 + ... + 5804.

Almost surely, 2^4127664 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 4127664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385816).

4127664 is an abundant number, since it is smaller than the sum of its proper divisors (6643968).

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

4127664 is a wasteful number, since it uses less digits than its factorization.

4127664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4127664 is about 2031.6653267701. The cubic root of 4127664 is about 160.4112338034.

The spelling of 4127664 in words is "four million, one hundred twenty-seven thousand, six hundred sixty-four".