40687640 has 48 divisors (see below), whose sum is σ = 106498800. Its totient is φ = 13949376.

The previous prime is 40687627. The next prime is 40687657. The reversal of 40687640 is 4678604.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 40687640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8420 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (2218725).

Almost surely, 2^40687640 is an apocalyptic number.

40687640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40687640 is an abundant number, since it is smaller than the sum of its proper divisors (65811160).

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

40687640 is a wasteful number, since it uses less digits than its factorization.

40687640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 40687640 is about 6378.6863851423. The cubic root of 40687640 is about 343.9438118072.

The spelling of 40687640 in words is "forty million, six hundred eighty-seven thousand, six hundred forty".