40587960 has 128 divisors (see below), whose sum is σ = 140428800. Its totient is φ = 9192960.

The previous prime is 40587949. The next prime is 40587973. The reversal of 40587960 is 6978504.

40587960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177126 + ... + 177354.

It is an arithmetic number, because the mean of its divisors is an integer number (1097100).

Almost surely, 2^40587960 is an apocalyptic number.

40587960 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 40587960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70214400).

40587960 is an abundant number, since it is smaller than the sum of its proper divisors (99840840).

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

40587960 is a wasteful number, since it uses less digits than its factorization.

40587960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40587960 is about 6370.8680727198. The cubic root of 40587960 is about 343.6627079726.

The spelling of 40587960 in words is "forty million, five hundred eighty-seven thousand, nine hundred sixty".