30661632 has 88 divisors (see below), whose sum is σ = 90886800. Its totient is φ = 10211328.

The previous prime is 30661627. The next prime is 30661633. The reversal of 30661632 is 23616603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30661596 and 30661605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30661633) 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, 27094 + ... + 28202.

Almost surely, 2^30661632 is an apocalyptic number.

30661632 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 30661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45443400).

30661632 is an abundant number, since it is smaller than the sum of its proper divisors (60225168).

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

30661632 is a wasteful number, since it uses less digits than its factorization.

30661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30661632 is about 5537.2946463052. The cubic root of 30661632 is about 312.9909322432.

The spelling of 30661632 in words is "thirty million, six hundred sixty-one thousand, six hundred thirty-two".