368065040 has 80 divisors (see below), whose sum is σ = 981901440. Its totient is φ = 125690880.

The previous prime is 368065039. The next prime is 368065057. The reversal of 368065040 is 40560863.

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

368065040 is a modest number, since divided by 65040 gives 3680 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 368064988 and 368065006.

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, 156191 + ... + 158529.

It is an arithmetic number, because the mean of its divisors is an integer number (12273768).

Almost surely, 2^368065040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490950720).

368065040 is an abundant number, since it is smaller than the sum of its proper divisors (613836400).

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

368065040 is a wasteful number, since it uses less digits than its factorization.

368065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 368065040 is about 19185.0212405408. The cubic root of 368065040 is about 716.6517893673.

The spelling of 368065040 in words is "three hundred sixty-eight million, sixty-five thousand, forty".