30259968 has 108 divisors (see below), whose sum is σ = 85247064. Its totient is φ = 9523200.

The previous prime is 30259967. The next prime is 30259981. The reversal of 30259968 is 86995203.

It is a super-2 number, since 2×30259968² = 1831331326722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30259961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738028 + ... + 738068.

Almost surely, 2^30259968 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 30259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623532).

30259968 is an abundant number, since it is smaller than the sum of its proper divisors (54987096).

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

30259968 is an equidigital number, since it uses as much as digits as its factorization.

30259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 30259968 is about 5500.9061071791. The cubic root of 30259968 is about 311.6182049134.

The spelling of 30259968 in words is "thirty million, two hundred fifty-nine thousand, nine hundred sixty-eight".