30418080 has 192 divisors, whose sum is σ = 119605248. Its totient is φ = 6312960.

The previous prime is 30418079. The next prime is 30418093. The reversal of 30418080 is 8081403.

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 30418080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36549 + ... + 37371.

It is an arithmetic number, because the mean of its divisors is an integer number (622944).

Almost surely, 2^30418080 is an apocalyptic number.

30418080 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 30418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59802624).

30418080 is an abundant number, since it is smaller than the sum of its proper divisors (89187168).

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

30418080 is a wasteful number, since it uses less digits than its factorization.

30418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

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

The square root of 30418080 is about 5515.2588334547. The cubic root of 30418080 is about 312.1600099692.

Adding to 30418080 its reverse (8081403), we get a palindrome (38499483).

The spelling of 30418080 in words is "thirty million, four hundred eighteen thousand, eighty".