40587640 has 64 divisors (see below), whose sum is σ = 96240960. Its totient is φ = 15375360.

The previous prime is 40587623. The next prime is 40587643. The reversal of 40587640 is 4678504.

40587640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40587596 and 40587605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40587643) 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, 144300 + ... + 144580.

It is an arithmetic number, because the mean of its divisors is an integer number (1503765).

Almost surely, 2^40587640 is an apocalyptic number.

40587640 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 40587640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48120480).

40587640 is an abundant number, since it is smaller than the sum of its proper divisors (55653320).

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

40587640 is a wasteful number, since it uses less digits than its factorization.

40587640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 40587640 is about 6370.8429583533. The cubic root of 40587640 is about 343.6618048119.

The spelling of 40587640 in words is "forty million, five hundred eighty-seven thousand, six hundred forty".