30671680 has 112 divisors (see below), whose sum is σ = 80522064. Its totient is φ = 11059200.

The previous prime is 30671659. The next prime is 30671701. The reversal of 30671680 is 8617603.

It is an interprime number because it is at equal distance from previous prime (30671659) and next prime (30671701).

It can be written as a sum of positive squares in 8 ways, for example, as 112896 + 30558784 = 336^2 + 5528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303630 + ... + 303730.

It is an arithmetic number, because the mean of its divisors is an integer number (718947).

Almost surely, 2^30671680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40261032).

30671680 is an abundant number, since it is smaller than the sum of its proper divisors (49850384).

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

30671680 is a wasteful number, since it uses less digits than its factorization.

30671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 30671680 is about 5538.2018742549. The cubic root of 30671680 is about 313.0251181753.

The spelling of 30671680 in words is "thirty million, six hundred seventy-one thousand, six hundred eighty".