30688000 has 144 divisors (see below), whose sum is σ = 88006464. Its totient is φ = 10444800.

The previous prime is 30687997. The next prime is 30688019. The reversal of 30688000 is 88603.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 223932 + ... + 224068.

It is an arithmetic number, because the mean of its divisors is an integer number (611156).

Almost surely, 2^30688000 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 30688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44003232).

30688000 is an abundant number, since it is smaller than the sum of its proper divisors (57318464).

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

30688000 is an equidigital number, since it uses as much as digits as its factorization.

30688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 30688000 is about 5539.6750807245. The cubic root of 30688000 is about 313.0806271891.

The spelling of 30688000 in words is "thirty million, six hundred eighty-eight thousand".