30401568 has 120 divisors (see below), whose sum is σ = 92116332. Its totient is φ = 9828864.

The previous prime is 30401557. The next prime is 30401587. The reversal of 30401568 is 86510403.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 63504 = 5508^2 + 252^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95746 + ... + 96062.

Almost surely, 2^30401568 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 30401568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46058166).

30401568 is an abundant number, since it is smaller than the sum of its proper divisors (61714764).

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

30401568 is a wasteful number, since it uses less digits than its factorization.

30401568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30401568 is about 5513.7616923476. The cubic root of 30401568 is about 312.1035159473.

The spelling of 30401568 in words is "thirty million, four hundred one thousand, five hundred sixty-eight".