40680960 has 80 divisors (see below), whose sum is σ = 130076496. Its totient is φ = 10846208.

The previous prime is 40680953. The next prime is 40681001. The reversal of 40680960 is 6908604.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5032 + ... + 10328.

Almost surely, 2^40680960 is an apocalyptic number.

40680960 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 40680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65038248).

40680960 is an abundant number, since it is smaller than the sum of its proper divisors (89395536).

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

40680960 is an equidigital number, since it uses as much as digits as its factorization.

40680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 40680960 is about 6378.1627448663. The cubic root of 40680960 is about 343.9249881512.

The spelling of 40680960 in words is "forty million, six hundred eighty thousand, nine hundred sixty".