30973680 has 60 divisors (see below), whose sum is σ = 104022360. Its totient is φ = 8259456.

The previous prime is 30973637. The next prime is 30973693. The reversal of 30973680 is 8637903.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20790 + ... + 22229.

It is an arithmetic number, because the mean of its divisors is an integer number (1733706).

Almost surely, 2^30973680 is an apocalyptic number.

30973680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30973680 is an abundant number, since it is smaller than the sum of its proper divisors (73048680).

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

30973680 is a wasteful number, since it uses less digits than its factorization.

30973680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43038 (or 43029 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30973680 is about 5565.4002551479. The cubic root of 30973680 is about 314.0491356161.

It can be divided in two parts, 30 and 973680, that added together give a triangular number (973710 = T₁₃₉₅).

The spelling of 30973680 in words is "thirty million, nine hundred seventy-three thousand, six hundred eighty".