40645680 has 80 divisors (see below), whose sum is σ = 126896640. Its totient is φ = 10761984.

The previous prime is 40645663. The next prime is 40645711. The reversal of 40645680 is 8654604.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38601 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (1586208).

Almost surely, 2^40645680 is an apocalyptic number.

40645680 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 40645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63448320).

40645680 is an abundant number, since it is smaller than the sum of its proper divisors (86250960).

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

40645680 is a wasteful number, since it uses less digits than its factorization.

40645680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 40645680 is about 6375.3964582605. The cubic root of 40645680 is about 343.8255380001.

The spelling of 40645680 in words is "forty million, six hundred forty-five thousand, six hundred eighty".