30897600 has 168 divisors, whose sum is σ = 104503728. Its totient is φ = 7987200.

The previous prime is 30897593. The next prime is 30897613. The reversal of 30897600 is 679803.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196722 + ... + 196878.

It is an arithmetic number, because the mean of its divisors is an integer number (622046).

Almost surely, 2^30897600 is an apocalyptic number.

30897600 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 30897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52251864).

30897600 is an abundant number, since it is smaller than the sum of its proper divisors (73606128).

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

30897600 is a wasteful number, since it uses less digits than its factorization.

30897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 30897600 is about 5558.5609648541. The cubic root of 30897600 is about 313.7917940335.

The spelling of 30897600 in words is "thirty million, eight hundred ninety-seven thousand, six hundred".