30090 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 7424.

The previous prime is 30089. The next prime is 30091. The reversal of 30090 is 9003.

It is an interprime number because it is at equal distance from previous prime (30089) and next prime (30091).

It is an Ulam number.

30090 is a modest number, since divided by 90 gives 30 as remainder.

It is not an unprimeable number, because it can be changed into a prime (30091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2³⁰⁰⁹⁰ is an apocalyptic number.

30090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

30090 is an abundant number, since it is smaller than the sum of its proper divisors (47670).

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

30090 is a wasteful number, since it uses less digits than its factorization.

30090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 30090 is about 173.4646938140. The cubic root of 30090 is about 31.1033663640.

Adding to 30090 its reverse (9003), we get a palindrome (39093).

It can be divided in two parts, 300 and 90, that multiplied together give a cube (27000 = 30³).

The spelling of 30090 in words is "thirty thousand, ninety".