198177420 has 144 divisors (see below), whose sum is σ = 656619264. Its totient is φ = 43747200.

The previous prime is 198177409. The next prime is 198177493. The reversal of 198177420 is 24771891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403375 + ... + 403865.

It is an arithmetic number, because the mean of its divisors is an integer number (4559856).

Almost surely, 2^198177420 is an apocalyptic number.

198177420 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 198177420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328309632).

198177420 is an abundant number, since it is smaller than the sum of its proper divisors (458441844).

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

198177420 is a wasteful number, since it uses less digits than its factorization.

198177420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 198177420 is about 14077.5502130165. The cubic root of 198177420 is about 583.0217052979.

It can be divided in two parts, 1981 and 77420, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 198177420 in words is "one hundred ninety-eight million, one hundred seventy-seven thousand, four hundred twenty".