30077568 has 96 divisors (see below), whose sum is σ = 89849760. Its totient is φ = 10015488.

The previous prime is 30077563. The next prime is 30077599. The reversal of 30077568 is 86577003.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (30077561) 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 11 ways as a sum of consecutive naturals, for example, 30621 + ... + 31587.

It is an arithmetic number, because the mean of its divisors is an integer number (935935).

Almost surely, 2^30077568 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 30077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44924880).

30077568 is an abundant number, since it is smaller than the sum of its proper divisors (59772192).

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

30077568 is an frugal number, since it uses more digits than its factorization.

30077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 30077568 is about 5484.3019610521. The cubic root of 30077568 is about 310.9908221290.

The spelling of 30077568 in words is "thirty million, seventy-seven thousand, five hundred sixty-eight".