30505680 has 160 divisors (see below), whose sum is σ = 108921600. Its totient is φ = 7838208.

The previous prime is 30505663. The next prime is 30505693. The reversal of 30505680 is 8650503.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 62397 + ... + 62883.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 2^30505680 is an apocalyptic number.

30505680 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 30505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460800).

30505680 is an abundant number, since it is smaller than the sum of its proper divisors (78415920).

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

30505680 is a wasteful number, since it uses less digits than its factorization.

30505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 30505680 is about 5523.1947276916. The cubic root of 30505680 is about 312.4593824542.

The spelling of 30505680 in words is "thirty million, five hundred five thousand, six hundred eighty".