30761568 has 144 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 9400320.

The previous prime is 30761561. The next prime is 30761581. The reversal of 30761568 is 86516703.

30761568 is a `hidden beast` number, since 30 + 7 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30761561) 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 23 ways as a sum of consecutive naturals, for example, 298605 + ... + 298707.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 2^30761568 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 30761568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208).

30761568 is an abundant number, since it is smaller than the sum of its proper divisors (64294848).

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

30761568 is a wasteful number, since it uses less digits than its factorization.

30761568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30761568 is about 5546.3112065588. The cubic root of 30761568 is about 313.3306091006.

It can be divided in two parts, 30761 and 568, that added together give a square (31329 = 177²).

The spelling of 30761568 in words is "thirty million, seven hundred sixty-one thousand, five hundred sixty-eight".