30042960 has 80 divisors (see below), whose sum is σ = 93863040. Its totient is φ = 7948800.

The previous prime is 30042953. The next prime is 30042973. The reversal of 30042960 is 6924003.

It is a tau number, because it is divible by the number of its divisors (80).

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 30042960.

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, 35826 + ... + 36654.

It is an arithmetic number, because the mean of its divisors is an integer number (1173288).

Almost surely, 2^30042960 is an apocalyptic number.

30042960 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 30042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46931520).

30042960 is an abundant number, since it is smaller than the sum of its proper divisors (63820080).

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

30042960 is a wasteful number, since it uses less digits than its factorization.

30042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30042960 is about 5481.1458656015. The cubic root of 30042960 is about 310.8714984192.

Adding to 30042960 its reverse (6924003), we get a palindrome (36966963).

The spelling of 30042960 in words is "thirty million, forty-two thousand, nine hundred sixty".