199704960 has 512 divisors, whose sum is σ = 877363200. Its totient is φ = 41803776.

The previous prime is 199704937. The next prime is 199704971. The reversal of 199704960 is 69407991.

199704960 is a `hidden beast` number, since 1 + 99 + 70 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572417 + ... + 1572543.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^199704960 is an apocalyptic number.

199704960 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 199704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438681600).

199704960 is an abundant number, since it is smaller than the sum of its proper divisors (677658240).

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

199704960 is a wasteful number, since it uses less digits than its factorization.

199704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199704960 is about 14131.7005346137. The cubic root of 199704960 is about 584.5158387223.

It can be divided in two parts, 1997049 and 60, that multiplied together give a triangular number (119822940 = T₁₅₄₈₀).

The spelling of 199704960 in words is "one hundred ninety-nine million, seven hundred four thousand, nine hundred sixty".