198631776 has 192 divisors, whose sum is σ = 642539520. Its totient is φ = 52462080.

The previous prime is 198631721. The next prime is 198631781. The reversal of 198631776 is 677136891.

It is a happy number.

198631776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599931 + ... + 600261.

It is an arithmetic number, because the mean of its divisors is an integer number (3346560).

Almost surely, 2^198631776 is an apocalyptic number.

198631776 is a gapful number since it is divisible by the number (16) 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 198631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321269760).

198631776 is an abundant number, since it is smaller than the sum of its proper divisors (443907744).

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

198631776 is a wasteful number, since it uses less digits than its factorization.

198631776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 198631776 is about 14093.6785829676. The cubic root of 198631776 is about 583.4669245781.

It can be divided in two parts, 1986 and 31776, that multiplied together give a square (63107136 = 7944²).

The spelling of 198631776 in words is "one hundred ninety-eight million, six hundred thirty-one thousand, seven hundred seventy-six".