30001920 has 144 divisors (see below), whose sum is σ = 103360992. Its totient is φ = 7372800.

The previous prime is 30001919. The next prime is 30001981. The reversal of 30001920 is 2910003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30001920.

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, 49620 + ... + 50220.

Almost surely, 2^30001920 is an apocalyptic number.

30001920 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 30001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51680496).

30001920 is an abundant number, since it is smaller than the sum of its proper divisors (73359072).

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

30001920 is a wasteful number, since it uses less digits than its factorization.

30001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 30001920 is about 5477.4008434658. The cubic root of 30001920 is about 310.7298792167.

Adding to 30001920 its reverse (2910003), we get a palindrome (32911923).

It can be divided in two parts, 3000 and 1920, that multiplied together give a square (5760000 = 2400²).

The spelling of 30001920 in words is "thirty million, one thousand, nine hundred twenty".