360065440 has 96 divisors (see below), whose sum is σ = 1029417984. Its totient is φ = 116183040.

The previous prime is 360065417. The next prime is 360065471. The reversal of 360065440 is 44560063.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 360065399 and 360065408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9585 + ... + 28495.

It is an arithmetic number, because the mean of its divisors is an integer number (10723104).

Almost surely, 2^360065440 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 360065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514708992).

360065440 is an abundant number, since it is smaller than the sum of its proper divisors (669352544).

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

360065440 is a wasteful number, since it uses less digits than its factorization.

360065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 360065440 is about 18975.3903780660. The cubic root of 360065440 is about 711.4217625639.

The spelling of 360065440 in words is "three hundred sixty million, sixty-five thousand, four hundred forty".