198031680 has 672 divisors, whose sum is σ = 912936960. Its totient is φ = 38154240.

The previous prime is 198031667. The next prime is 198031693. The reversal of 198031680 is 86130891.

198031680 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 (198031667) and next prime (198031693).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213417 + ... + 4213463.

Almost surely, 2^198031680 is an apocalyptic number.

198031680 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 198031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

198031680 is an abundant number, since it is smaller than the sum of its proper divisors (714905280).

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

198031680 is a wasteful number, since it uses less digits than its factorization.

198031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198031680 is about 14072.3729342283. The cubic root of 198031680 is about 582.8787518764.

It can be divided in two parts, 1980 and 31680, that multiplied together give a square (62726400 = 7920²).

The spelling of 198031680 in words is "one hundred ninety-eight million, thirty-one thousand, six hundred eighty".