4001634 has 72 divisors (see below), whose sum is σ = 10892700. Its totient is φ = 1052352.

The previous prime is 4001629. The next prime is 4001639. The reversal of 4001634 is 4361004.

It is an interprime number because it is at equal distance from previous prime (4001629) and next prime (4001639).

It can be written as a sum of positive squares in 2 ways, for example, as 3980025 + 21609 = 1995^2 + 147^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4001639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11292 + ... + 11640.

Almost surely, 2^4001634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446350).

4001634 is an abundant number, since it is smaller than the sum of its proper divisors (6891066).

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

4001634 is a wasteful number, since it uses less digits than its factorization.

4001634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4001634 is about 2000.4084582905. The cubic root of 4001634 is about 158.7617173652.

Adding to 4001634 its reverse (4361004), we get a palindrome (8362638).

The spelling of 4001634 in words is "four million, one thousand, six hundred thirty-four".