4001088 has 112 divisors (see below), whose sum is σ = 13086080. Its totient is φ = 1050624.

The previous prime is 4001071. The next prime is 4001089. The reversal of 4001088 is 8801004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17358 + ... + 17586.

It is an arithmetic number, because the mean of its divisors is an integer number (116840).

Almost surely, 2^4001088 is an apocalyptic number.

4001088 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 4001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543040).

4001088 is an abundant number, since it is smaller than the sum of its proper divisors (9084992).

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

4001088 is a wasteful number, since it uses less digits than its factorization.

4001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 4001088 is about 2000.2719815065. The cubic root of 4001088 is about 158.7544963283.

The spelling of 4001088 in words is "four million, one thousand, eighty-eight".