362080 has 48 divisors (see below), whose sum is σ = 895104. Its totient is φ = 138240.

The previous prime is 362069. The next prime is 362081. The reversal of 362080 is 80263.

It is a super-2 number, since 2×362080² = 262203852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4924 + ... + 4996.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2³⁶²⁰⁸⁰ 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 362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

362080 is an abundant number, since it is smaller than the sum of its proper divisors (533024).

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

362080 is a wasteful number, since it uses less digits than its factorization.

362080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 362080 is about 601.7308368365. The cubic root of 362080 is about 71.2746093302.

It can be divided in two parts, 36 and 2080, that added together give a square (2116 = 46²).

The spelling of 362080 in words is "three hundred sixty-two thousand, eighty".