4081536 has 64 divisors (see below), whose sum is σ = 12056400. Its totient is φ = 1359360.

The previous prime is 4081501. The next prime is 4081541. The reversal of 4081536 is 6351804.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4081536² = 33317872238592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2866 + ... + 4046.

Almost surely, 2^4081536 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 4081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028200).

4081536 is an abundant number, since it is smaller than the sum of its proper divisors (7974864).

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

4081536 is a wasteful number, since it uses less digits than its factorization.

4081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4081536 is about 2020.2811685506. The cubic root of 4081536 is about 159.8114445467.

The spelling of 4081536 in words is "four million, eighty-one thousand, five hundred thirty-six".