30396960 has 288 divisors, whose sum is σ = 120294720. Its totient is φ = 6912000.

The previous prime is 30396953. The next prime is 30396967. The reversal of 30396960 is 6969303.

It is an interprime number because it is at equal distance from previous prime (30396953) and next prime (30396967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30396967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300910 + ... + 301010.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^30396960 is an apocalyptic number.

30396960 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 30396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

30396960 is an abundant number, since it is smaller than the sum of its proper divisors (89897760).

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

30396960 is a wasteful number, since it uses less digits than its factorization.

30396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 30396960 is about 5513.3438129687. The cubic root of 30396960 is about 312.0877465231.

It can be divided in two parts, 3039 and 6960, that added together give a palindrome (9999).

The spelling of 30396960 in words is "thirty million, three hundred ninety-six thousand, nine hundred sixty".