198411624 has 96 divisors (see below), whose sum is σ = 572874120. Its totient is φ = 61820928.

The previous prime is 198411617. The next prime is 198411643. The reversal of 198411624 is 426114891.

198411624 is a `hidden beast` number, since 19 + 8 + 4 + 11 + 624 = 666.

198411624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 183060900 + 15350724 = 13530^2 + 3918^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211284 + ... + 212220.

Almost surely, 2^198411624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198411624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286437060).

198411624 is an abundant number, since it is smaller than the sum of its proper divisors (374462496).

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

198411624 is a wasteful number, since it uses less digits than its factorization.

198411624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 198411624 is about 14085.8661075562. The cubic root of 198411624 is about 583.2512845325.

The spelling of 198411624 in words is "one hundred ninety-eight million, four hundred eleven thousand, six hundred twenty-four".