30368864 has 48 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 14576640.

The previous prime is 30368861. The next prime is 30368869. The reversal of 30368864 is 46886303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30368861) 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, 103502 + ... + 103794.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2^30368864 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 30368864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31116960).

30368864 is an abundant number, since it is smaller than the sum of its proper divisors (31865056).

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

30368864 is a wasteful number, since it uses less digits than its factorization.

30368864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 30368864 is about 5510.7952239219. The cubic root of 30368864 is about 311.9915623403.

The spelling of 30368864 in words is "thirty million, three hundred sixty-eight thousand, eight hundred sixty-four".