30319920 has 100 divisors (see below), whose sum is σ = 105328080. Its totient is φ = 8083584.

The previous prime is 30319907. The next prime is 30319921. The reversal of 30319920 is 2991303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30319921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4141 + ... + 8819.

Almost surely, 2^30319920 is an apocalyptic number.

30319920 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 30319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52664040).

30319920 is an abundant number, since it is smaller than the sum of its proper divisors (75008160).

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

30319920 is a wasteful number, since it uses less digits than its factorization.

30319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30319920 is about 5506.3526948426. The cubic root of 30319920 is about 311.8238650814.

The spelling of 30319920 in words is "thirty million, three hundred nineteen thousand, nine hundred twenty".