362088 has 48 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 117024.

The previous prime is 362081. The next prime is 362093. The reversal of 362088 is 880263.

It is a super-2 number, since 2×362088² = 262215439488, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362088.

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

362088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3331 + ... + 3437.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2³⁶²⁰⁸⁸ 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 362088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440).

362088 is an abundant number, since it is smaller than the sum of its proper divisors (648792).

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

362088 is a wasteful number, since it uses less digits than its factorization.

362088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 362088 is about 601.7374842903. The cubic root of 362088 is about 71.2751342535.

The spelling of 362088 in words is "three hundred sixty-two thousand, eighty-eight".