30260880 has 240 divisors, whose sum is σ = 113336496. Its totient is φ = 7188480.

The previous prime is 30260873. The next prime is 30260899. The reversal of 30260880 is 8806203.

It can be written as a sum of positive squares in 8 ways, for example, as 5817744 + 24443136 = 2412^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496050 + ... + 496110.

Almost surely, 2^30260880 is an apocalyptic number.

30260880 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 30260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668248).

30260880 is an abundant number, since it is smaller than the sum of its proper divisors (83075616).

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

30260880 is a wasteful number, since it uses less digits than its factorization.

30260880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

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

The square root of 30260880 is about 5500.9890019886. The cubic root of 30260880 is about 311.6213354846.

The spelling of 30260880 in words is "thirty million, two hundred sixty thousand, eight hundred eighty".