198626400 has 324 divisors, whose sum is σ = 816205572. Its totient is φ = 45319680.

The previous prime is 198626381. The next prime is 198626401. The reversal of 198626400 is 4626891.

198626400 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 2 + 640 + 0 = 666.

198626400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198626401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352519 + ... + 353081.

It is an arithmetic number, because the mean of its divisors is an integer number (2519153).

Almost surely, 2^198626400 is an apocalyptic number.

198626400 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 198626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408102786).

198626400 is an abundant number, since it is smaller than the sum of its proper divisors (617579172).

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

198626400 is a wasteful number, since it uses less digits than its factorization.

198626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 198626400 is about 14093.4878578725. The cubic root of 198626400 is about 583.4616606561.

It can be divided in two parts, 19862 and 6400, that added together give a palindrome (26262).

The spelling of 198626400 in words is "one hundred ninety-eight million, six hundred twenty-six thousand, four hundred".