30481680 has 160 divisors (see below), whose sum is σ = 103707648. Its totient is φ = 7372800.

The previous prime is 30481679. The next prime is 30481687. The reversal of 30481680 is 8618403.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30481687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126360 + ... + 126600.

Almost surely, 2^30481680 is an apocalyptic number.

30481680 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 30481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

30481680 is an abundant number, since it is smaller than the sum of its proper divisors (73225968).

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

30481680 is a wasteful number, since it uses less digits than its factorization.

30481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 30481680 is about 5521.0216445872. The cubic root of 30481680 is about 312.3774196566.

The spelling of 30481680 in words is "thirty million, four hundred eighty-one thousand, six hundred eighty".