198611952 has 320 divisors, whose sum is σ = 707097600. Its totient is φ = 46448640.

The previous prime is 198611951. The next prime is 198611953. The reversal of 198611952 is 259116891.

It is an interprime number because it is at equal distance from previous prime (198611951) and next prime (198611953).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198611951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822074 + ... + 1822182.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^198611952 is an apocalyptic number.

198611952 is a gapful number since it is divisible by the number (12) 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 198611952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

198611952 is an abundant number, since it is smaller than the sum of its proper divisors (508485648).

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

198611952 is a wasteful number, since it uses less digits than its factorization.

198611952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 198611952 is about 14092.9752713896. The cubic root of 198611952 is about 583.4475133953.

The spelling of 198611952 in words is "one hundred ninety-eight million, six hundred eleven thousand, nine hundred fifty-two".