198261504 has 216 divisors, whose sum is σ = 688746240. Its totient is φ = 53581824.

The previous prime is 198261457. The next prime is 198261571. The reversal of 198261504 is 405162891.

198261504 is a `hidden beast` number, since 1 + 98 + 2 + 61 + 504 = 666.

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

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, 306109 + ... + 306755.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^198261504 is an apocalyptic number.

198261504 is a gapful number since it is divisible by the number (14) 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 198261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

198261504 is an abundant number, since it is smaller than the sum of its proper divisors (490484736).

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

198261504 is a wasteful number, since it uses less digits than its factorization.

198261504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198261504 is about 14080.5363534206. The cubic root of 198261504 is about 583.1041497147.

It can be divided in two parts, 198261 and 504, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 198261504 in words is "one hundred ninety-eight million, two hundred sixty-one thousand, five hundred four".