365088 has 24 divisors (see below), whose sum is σ = 958608. Its totient is φ = 121664.

The previous prime is 365069. The next prime is 365089. The reversal of 365088 is 880563.

365088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365088.

It is not an unprimeable number, because it can be changed into a prime (365089) by changing a digit.

365088 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 3 ways as a sum of consecutive naturals, for example, 1806 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (39942).

2³⁶⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

365088 is an abundant number, since it is smaller than the sum of its proper divisors (593520).

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

365088 is a wasteful number, since it uses less digits than its factorization.

365088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 365088 is about 604.2251236087. The cubic root of 365088 is about 71.4714378884.

The spelling of 365088 in words is "three hundred sixty-five thousand, eighty-eight".