361088 has 64 divisors (see below), whose sum is σ = 913920. Its totient is φ = 138240.

The previous prime is 361069. The next prime is 361091. The reversal of 361088 is 880163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 361088.

It is an unprimeable number.

361088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11633 + ... + 11663.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2³⁶¹⁰⁸⁸ 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 361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456960).

361088 is an abundant number, since it is smaller than the sum of its proper divisors (552832).

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

361088 is a wasteful number, since it uses less digits than its factorization.

361088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 361088 is about 600.9059826628. The cubic root of 361088 is about 71.2094588284.

The spelling of 361088 in words is "three hundred sixty-one thousand, eighty-eight".