40587168 has 48 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 13418496.

The previous prime is 40587167. The next prime is 40587191. The reversal of 40587168 is 86178504.

40587168 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 (48).

It is not an unprimeable number, because it can be changed into a prime (40587161) 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 7 ways as a sum of consecutive naturals, for example, 10528 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^40587168 is an apocalyptic number.

40587168 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 40587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

40587168 is an abundant number, since it is smaller than the sum of its proper divisors (66825312).

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

40587168 is a wasteful number, since it uses less digits than its factorization.

40587168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 40587168 is about 6370.8059144821. The cubic root of 40587168 is about 343.6604726412.

It can be divided in two parts, 40587 and 168, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 40587168 in words is "forty million, five hundred eighty-seven thousand, one hundred sixty-eight".