40590160 has 80 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 14492160.

The previous prime is 40590149. The next prime is 40590161. The reversal of 40590160 is 6109504.

40590160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40590160² = 3295122177651200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40590161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31611 + ... + 32869.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^40590160 is an apocalyptic number.

40590160 is a gapful number since it is divisible by the number (40) 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 40590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

40590160 is an abundant number, since it is smaller than the sum of its proper divisors (64403120).

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

40590160 is a wasteful number, since it uses less digits than its factorization.

40590160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 40590160 is about 6371.0407313091. The cubic root of 40590160 is about 343.6689170742.

Adding to 40590160 its reverse (6109504), we get a palindrome (46699664).

The spelling of 40590160 in words is "forty million, five hundred ninety thousand, one hundred sixty".