30634816 has 56 divisors (see below), whose sum is σ = 66193416. Its totient is φ = 14008320.

The previous prime is 30634811. The next prime is 30634829. The reversal of 30634816 is 61843603.

It can be written as a sum of positive squares in 4 ways, for example, as 4665600 + 25969216 = 2160^2 + 5096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30634811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39876 + ... + 40636.

Almost surely, 2^30634816 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 30634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096708).

30634816 is an abundant number, since it is smaller than the sum of its proper divisors (35558600).

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

30634816 is a wasteful number, since it uses less digits than its factorization.

30634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 30634816 is about 5534.8727175970. The cubic root of 30634816 is about 312.8996605973.

It can be divided in two parts, 306 and 34816, that multiplied together give a square (10653696 = 3264²).

The spelling of 30634816 in words is "thirty million, six hundred thirty-four thousand, eight hundred sixteen".