30919680 has 264 divisors, whose sum is σ = 118791504. Its totient is φ = 7372800.

The previous prime is 30919657. The next prime is 30919711. The reversal of 30919680 is 8691903.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×30919680² = 1912053222604800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506850 + ... + 506910.

Almost surely, 2^30919680 is an apocalyptic number.

30919680 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 30919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59395752).

30919680 is an abundant number, since it is smaller than the sum of its proper divisors (87871824).

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

30919680 is a wasteful number, since it uses less digits than its factorization.

30919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30919680 is about 5560.5467357086. The cubic root of 30919680 is about 313.8665233874.

The spelling of 30919680 in words is "thirty million, nine hundred nineteen thousand, six hundred eighty".