360672816 has 160 divisors (see below), whose sum is σ = 1136498688. Its totient is φ = 96215040.

The previous prime is 360672769. The next prime is 360672847. The reversal of 360672816 is 618276063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330761 + ... + 1331031.

Almost surely, 2^360672816 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 360672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568249344).

360672816 is an abundant number, since it is smaller than the sum of its proper divisors (775825872).

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

360672816 is a wasteful number, since it uses less digits than its factorization.

360672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 360672816 is about 18991.3879429598. The cubic root of 360672816 is about 711.8215581946.

It can be divided in two parts, 36067 and 2816, that added together give a palindrome (38883).

The spelling of 360672816 in words is "three hundred sixty million, six hundred seventy-two thousand, eight hundred sixteen".