360090 has 24 divisors (see below), whose sum is σ = 936468. Its totient is φ = 96000.

The previous prime is 360089. The next prime is 360091. The reversal of 360090 is 90063.

It is an interprime number because it is at equal distance from previous prime (360089) and next prime (360091).

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 45369 = 561^2 + 213^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (360091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1911 + ... + 2090.

2³⁶⁰⁰⁹⁰ is an apocalyptic number.

360090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

360090 is an abundant number, since it is smaller than the sum of its proper divisors (576378).

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

360090 is a wasteful number, since it uses less digits than its factorization.

360090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 360090 is about 600.0749953131. The cubic root of 360090 is about 71.1437937514.

The spelling of 360090 in words is "three hundred sixty thousand, ninety".