360945720 has 160 divisors (see below), whose sum is σ = 1226301120. Its totient is φ = 95212800.

The previous prime is 360945703. The next prime is 360945721. The reversal of 360945720 is 27549063.

360945720 is a `hidden beast` number, since 3 + 609 + 45 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360945721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326689 + ... + 327791.

It is an arithmetic number, because the mean of its divisors is an integer number (7664382).

Almost surely, 2^360945720 is an apocalyptic number.

360945720 is a gapful number since it is divisible by the number (30) 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 360945720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613150560).

360945720 is an abundant number, since it is smaller than the sum of its proper divisors (865355400).

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

360945720 is a wasteful number, since it uses less digits than its factorization.

360945720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 360945720 is about 18998.5715252489. The cubic root of 360945720 is about 712.0010467939.

It can be divided in two parts, 36094 and 5720, that added together give a palindrome (41814).

The spelling of 360945720 in words is "three hundred sixty million, nine hundred forty-five thousand, seven hundred twenty".