30940672 has 80 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 12976128.

The previous prime is 30940661. The next prime is 30940703. The reversal of 30940672 is 27604903.

It is a super-3 number, since 3×30940672³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318928 + ... + 319024.

It is an arithmetic number, because the mean of its divisors is an integer number (902286).

Almost surely, 2^30940672 is an apocalyptic number.

30940672 is a gapful number since it is divisible by the number (32) 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 30940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

30940672 is an abundant number, since it is smaller than the sum of its proper divisors (41242208).

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

30940672 is an frugal number, since it uses more digits than its factorization.

30940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 30940672 is about 5562.4339996084. The cubic root of 30940672 is about 313.9375374422.

The spelling of 30940672 in words is "thirty million, nine hundred forty thousand, six hundred seventy-two".