30814080 has 128 divisors (see below), whose sum is σ = 107222400. Its totient is φ = 7464960.

The previous prime is 30814033. The next prime is 30814097. The reversal of 30814080 is 8041803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30814080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20391 + ... + 21849.

It is an arithmetic number, because the mean of its divisors is an integer number (837675).

Almost surely, 2^30814080 is an apocalyptic number.

30814080 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 30814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53611200).

30814080 is an abundant number, since it is smaller than the sum of its proper divisors (76408320).

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

30814080 is a wasteful number, since it uses less digits than its factorization.

30814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 30814080 is about 5551.0431452115. The cubic root of 30814080 is about 313.5087996635.

Adding to 30814080 its reverse (8041803), we get a palindrome (38855883).

The spelling of 30814080 in words is "thirty million, eight hundred fourteen thousand, eighty".