30026880 has 192 divisors, whose sum is σ = 111940920. Its totient is φ = 7372800.

The previous prime is 30026863. The next prime is 30026881. The reversal of 30026880 is 8862003.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 2903616 = 5208^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×30026880² = 1803227045068800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30026881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74680 + ... + 75080.

Almost surely, 2^30026880 is an apocalyptic number.

30026880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970460).

30026880 is an abundant number, since it is smaller than the sum of its proper divisors (81914040).

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

30026880 is a wasteful number, since it uses less digits than its factorization.

30026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30026880 is about 5479.6788227048. The cubic root of 30026880 is about 310.8160255696.

Adding to 30026880 its reverse (8862003), we get a palindrome (38888883).

The spelling of 30026880 in words is "thirty million, twenty-six thousand, eight hundred eighty".