30869280 has 288 divisors, whose sum is σ = 121356144. Its totient is φ = 7077888.

The previous prime is 30869257. The next prime is 30869287. The reversal of 30869280 is 8296803.

It can be written as a sum of positive squares in 8 ways, for example, as 11048976 + 19820304 = 3324^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30869287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318192 + ... + 318288.

Almost surely, 2^30869280 is an apocalyptic number.

30869280 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 30869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678072).

30869280 is an abundant number, since it is smaller than the sum of its proper divisors (90486864).

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

30869280 is a wasteful number, since it uses less digits than its factorization.

30869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30869280 is about 5556.0129589482. The cubic root of 30869280 is about 313.6958933803.

The spelling of 30869280 in words is "thirty million, eight hundred sixty-nine thousand, two hundred eighty".