30690 has 48 divisors (see below), whose sum is σ = 89856. Its totient is φ = 7200.

The previous prime is 30689. The next prime is 30697. The reversal of 30690 is 9603.

It is a super-2 number, since 2×30690² = 1883752200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

2³⁰⁶⁹⁰ is an apocalyptic number.

30690 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 30690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928).

30690 is an abundant number, since it is smaller than the sum of its proper divisors (59166).

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

30690 is a wasteful number, since it uses less digits than its factorization.

30690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

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

The square root of 30690 is about 175.1856158479. The cubic root of 30690 is about 31.3087428411.

The spelling of 30690 in words is "thirty thousand, six hundred ninety".