198761500 has 96 divisors (see below), whose sum is σ = 501621120. Its totient is φ = 67392000.

The previous prime is 198761483. The next prime is 198761503. The reversal of 198761500 is 5167891.

It is a super-2 number, since 2×198761500² = 79012267764500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198761500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198761503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381240 + ... + 381760.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2^198761500 is an apocalyptic number.

198761500 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 198761500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810560).

198761500 is an abundant number, since it is smaller than the sum of its proper divisors (302859620).

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

198761500 is a wasteful number, since it uses less digits than its factorization.

198761500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 198761500 is about 14098.2800369407. The cubic root of 198761500 is about 583.5939153236.

The spelling of 198761500 in words is "one hundred ninety-eight million, seven hundred sixty-one thousand, five hundred".