30661456 has 80 divisors (see below), whose sum is σ = 71622400. Its totient is φ = 12700800.

The previous prime is 30661403. The next prime is 30661457. The reversal of 30661456 is 65416603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30661457) 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, 202981 + ... + 203131.

It is an arithmetic number, because the mean of its divisors is an integer number (895280).

Almost surely, 2^30661456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30661456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35811200).

30661456 is an abundant number, since it is smaller than the sum of its proper divisors (40960944).

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

30661456 is a wasteful number, since it uses less digits than its factorization.

30661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 30661456 is about 5537.2787540452. The cubic root of 30661456 is about 312.9903333784.

The spelling of 30661456 in words is "thirty million, six hundred sixty-one thousand, four hundred fifty-six".