30164800 has 84 divisors (see below), whose sum is σ = 78661260. Its totient is φ = 11345920.

The previous prime is 30164789. The next prime is 30164803. The reversal of 30164800 is 846103.

It can be written as a sum of positive squares in 6 ways, for example, as 3041536 + 27123264 = 1744^2 + 5208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30164803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26646 + ... + 27754.

Almost surely, 2^30164800 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 30164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39330630).

30164800 is an abundant number, since it is smaller than the sum of its proper divisors (48496460).

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

30164800 is a wasteful number, since it uses less digits than its factorization.

30164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30164800 is about 5492.2490839364. The cubic root of 30164800 is about 311.2911807149.

The spelling of 30164800 in words is "thirty million, one hundred sixty-four thousand, eight hundred".