362020160 has 84 divisors (see below), whose sum is σ = 884912124. Its totient is φ = 141066240.

The previous prime is 362020159. The next prime is 362020193. The reversal of 362020160 is 61020263.

It can be written as a sum of positive squares in 6 ways, for example, as 158558464 + 203461696 = 12592^2 + 14264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537584 + ... + 538256.

Almost surely, 2^362020160 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 362020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442456062).

362020160 is an abundant number, since it is smaller than the sum of its proper divisors (522891964).

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

362020160 is an equidigital number, since it uses as much as digits as its factorization.

362020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 362020160 is about 19026.8273761024. The cubic root of 362020160 is about 712.7068265877.

The spelling of 362020160 in words is "three hundred sixty-two million, twenty thousand, one hundred sixty".