30660480 has 96 divisors (see below), whose sum is σ = 105894360. Its totient is φ = 8174592.

The previous prime is 30660479. The next prime is 30660499. The reversal of 30660480 is 8406603.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3099 + ... + 8421.

Almost surely, 2^30660480 is an apocalyptic number.

30660480 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 30660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52947180).

30660480 is an abundant number, since it is smaller than the sum of its proper divisors (75233880).

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

30660480 is a wasteful number, since it uses less digits than its factorization.

30660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30660480 is about 5537.1906234118. The cubic root of 30660480 is about 312.9870123597.

The spelling of 30660480 in words is "thirty million, six hundred sixty thousand, four hundred eighty".