30919800 has 96 divisors (see below), whose sum is σ = 99212400. Its totient is φ = 7956480.

The previous prime is 30919789. The next prime is 30919813. The reversal of 30919800 is 891903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16512 + ... + 18288.

Almost surely, 2^30919800 is an apocalyptic number.

30919800 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 30919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606200).

30919800 is an abundant number, since it is smaller than the sum of its proper divisors (68292600).

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

30919800 is a wasteful number, since it uses less digits than its factorization.

30919800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 30919800 is about 5560.5575260040. The cubic root of 30919800 is about 313.8669294279.

The spelling of 30919800 in words is "thirty million, nine hundred nineteen thousand, eight hundred".