4041648 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1161216.

The previous prime is 4041619. The next prime is 4041683. The reversal of 4041648 is 8461404.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31761 + ... + 31887.

Almost surely, 2^4041648 is an apocalyptic number.

4041648 is a gapful number since it is divisible by the number (48) 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 4041648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4041648 is an abundant number, since it is smaller than the sum of its proper divisors (8957520).

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

4041648 is a wasteful number, since it uses less digits than its factorization.

4041648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4041648 is about 2010.3850377477. The cubic root of 4041648 is about 159.2891380646.

The spelling of 4041648 in words is "four million, forty-one thousand, six hundred forty-eight".