198964072 has 32 divisors (see below), whose sum is σ = 380406600. Its totient is φ = 97542144.

The previous prime is 198964063. The next prime is 198964079. The reversal of 198964072 is 270469891.

It can be written as a sum of positive squares in 4 ways, for example, as 52215076 + 146748996 = 7226^2 + 12114^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198964079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86554 + ... + 88822.

Almost surely, 2^198964072 is an apocalyptic number.

It is an amenable number.

198964072 is a deficient number, since it is larger than the sum of its proper divisors (181442528).

198964072 is a wasteful number, since it uses less digits than its factorization.

198964072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 198964072 is about 14105.4624879867. The cubic root of 198964072 is about 583.7921087150.

The spelling of 198964072 in words is "one hundred ninety-eight million, nine hundred sixty-four thousand, seventy-two".