30801600 has 336 divisors, whose sum is σ = 120944640. Its totient is φ = 7603200.

The previous prime is 30801593. The next prime is 30801611. The reversal of 30801600 is 610803.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993585 + ... + 993615.

Almost surely, 2^30801600 is an apocalyptic number.

30801600 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 30801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

30801600 is an abundant number, since it is smaller than the sum of its proper divisors (90143040).

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

30801600 is a wasteful number, since it uses less digits than its factorization.

30801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30801600 is about 5549.9189183266. The cubic root of 30801600 is about 313.4664692510.

The spelling of 30801600 in words is "thirty million, eight hundred one thousand, six hundred".