198752640 has 128 divisors (see below), whose sum is σ = 644289120. Its totient is φ = 52101120.

The previous prime is 198752623. The next prime is 198752669. The reversal of 198752640 is 46257891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×198752640² = 79005223813939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198752592 and 198752601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116272 + ... + 117968.

Almost surely, 2^198752640 is an apocalyptic number.

198752640 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 198752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322144560).

198752640 is an abundant number, since it is smaller than the sum of its proper divisors (445536480).

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

198752640 is a wasteful number, since it uses less digits than its factorization.

198752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 198752640 is about 14097.9658107118. The cubic root of 198752640 is about 583.5852437601.

The spelling of 198752640 in words is "one hundred ninety-eight million, seven hundred fifty-two thousand, six hundred forty".