30685632 has 56 divisors (see below), whose sum is σ = 82369152. Its totient is φ = 10080000.

The previous prime is 30685631. The next prime is 30685651. The reversal of 30685632 is 23658603.

It is a super-2 number, since 2×30685632² = 1883216022478848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30685593 and 30685602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30685631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12507 + ... + 14757.

Almost surely, 2^30685632 is an apocalyptic number.

30685632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184576).

30685632 is an abundant number, since it is smaller than the sum of its proper divisors (51683520).

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

30685632 is a wasteful number, since it uses less digits than its factorization.

30685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 30685632 is about 5539.4613456545. The cubic root of 30685632 is about 313.0725741609.

The spelling of 30685632 in words is "thirty million, six hundred eighty-five thousand, six hundred thirty-two".