198812880 has 280 divisors, whose sum is σ = 793675392. Its totient is φ = 45349632.

The previous prime is 198812879. The next prime is 198812881. The reversal of 198812880 is 88218891.

198812880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198812879) and next prime (198812881).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×198812880² = 79053122507788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198812881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407997 + ... + 408483.

Almost surely, 2^198812880 is an apocalyptic number.

198812880 is a gapful number since it is divisible by the number (10) 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 198812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396837696).

198812880 is an abundant number, since it is smaller than the sum of its proper divisors (594862512).

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

198812880 is an equidigital number, since it uses as much as digits as its factorization.

198812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 198812880 is about 14100.1021272897. The cubic root of 198812880 is about 583.6441974826.

The spelling of 198812880 in words is "one hundred ninety-eight million, eight hundred twelve thousand, eight hundred eighty".