362720160 has 384 divisors, whose sum is σ = 1469664000. Its totient is φ = 82575360.

The previous prime is 362720107. The next prime is 362720161. The reversal of 362720160 is 61027263.

It is a happy number.

362720160 is a `hidden beast` number, since 3 + 627 + 20 + 16 + 0 = 666.

362720160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (362720161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807616 + ... + 808064.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2^362720160 is an apocalyptic number.

362720160 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 362720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734832000).

362720160 is an abundant number, since it is smaller than the sum of its proper divisors (1106943840).

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

362720160 is a wasteful number, since it uses less digits than its factorization.

362720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 362720160 is about 19045.2135719188. The cubic root of 362720160 is about 713.1658927074.

The spelling of 362720160 in words is "three hundred sixty-two million, seven hundred twenty thousand, one hundred sixty".