40001680 has 80 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 14800896.

The previous prime is 40001657. The next prime is 40001711. The reversal of 40001680 is 8610004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90901 + ... + 91339.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^40001680 is an apocalyptic number.

40001680 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 40001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

40001680 is an abundant number, since it is smaller than the sum of its proper divisors (60170480).

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

40001680 is a wasteful number, since it uses less digits than its factorization.

40001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 40001680 is about 6324.6881346040. The cubic root of 40001680 is about 341.9999772010. Note that the first 4 decimals are identical.

Adding to 40001680 its reverse (8610004), we get a palindrome (48611684).

The spelling of 40001680 in words is "forty million, one thousand, six hundred eighty".