30468960 has 120 divisors (see below), whose sum is σ = 107575776. Its totient is φ = 8121600.

The previous prime is 30468953. The next prime is 30468967. The reversal of 30468960 is 6986403.

It is an interprime number because it is at equal distance from previous prime (30468953) and next prime (30468967).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30468967) 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, 11785 + ... + 14135.

Almost surely, 2^30468960 is an apocalyptic number.

30468960 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 30468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53787888).

30468960 is an abundant number, since it is smaller than the sum of its proper divisors (77106816).

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

30468960 is a wasteful number, since it uses less digits than its factorization.

30468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30468960 is about 5519.8695636763. The cubic root of 30468960 is about 312.3339619293. Note that the first 3 decimals are identical.

The spelling of 30468960 in words is "thirty million, four hundred sixty-eight thousand, nine hundred sixty".