4001536 has 108 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 1505280.

The previous prime is 4001531. The next prime is 4001549. The reversal of 4001536 is 6351004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137970 + ... + 137998.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

Almost surely, 2^4001536 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 4001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

4001536 is an abundant number, since it is smaller than the sum of its proper divisors (6484184).

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

4001536 is a wasteful number, since it uses less digits than its factorization.

4001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 4001536 is about 2000.3839631431. The cubic root of 4001536 is about 158.7604213300.

It can be divided in two parts, 400 and 1536, that added together give a square (1936 = 44²).

The spelling of 4001536 in words is "four million, one thousand, five hundred thirty-six".