30660960 has 96 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 7431680.

The previous prime is 30660941. The next prime is 30660961. The reversal of 30660960 is 6906603.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30660961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2377 + ... + 8183.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^30660960 is an apocalyptic number.

30660960 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 30660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

30660960 is an abundant number, since it is smaller than the sum of its proper divisors (74719392).

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

30660960 is a wasteful number, since it uses less digits than its factorization.

30660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 30660960 is about 5537.2339665216. The cubic root of 30660960 is about 312.9886456564.

The spelling of 30660960 in words is "thirty million, six hundred sixty thousand, nine hundred sixty".