199770948 has 120 divisors (see below), whose sum is σ = 576014208. Its totient is φ = 59984064.

The previous prime is 199770943. The next prime is 199770971. The reversal of 199770948 is 849077991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199770894 and 199770903.

It is not an unprimeable number, because it can be changed into a prime (199770941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180565 + ... + 181667.

Almost surely, 2^199770948 is an apocalyptic number.

199770948 is a gapful number since it is divisible by the number (18) 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 199770948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288007104).

199770948 is an abundant number, since it is smaller than the sum of its proper divisors (376243260).

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

199770948 is a wasteful number, since it uses less digits than its factorization.

199770948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 199770948 is about 14134.0350926407. The cubic root of 199770948 is about 584.5802116579.

The spelling of 199770948 in words is "one hundred ninety-nine million, seven hundred seventy thousand, nine hundred forty-eight".