199164420 has 360 divisors, whose sum is σ = 786754584. Its totient is φ = 41803776.

The previous prime is 199164397. The next prime is 199164437. The reversal of 199164420 is 24461991.

It is a happy number.

199164420 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 644 + 2 + 0 = 666.

199164420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 199148544 = 126^2 + 14112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1031844 + ... + 1032036.

Almost surely, 2^199164420 is an apocalyptic number.

199164420 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 199164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393377292).

199164420 is an abundant number, since it is smaller than the sum of its proper divisors (587590164).

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

199164420 is a wasteful number, since it uses less digits than its factorization.

199164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199164420 is about 14112.5624887899. The cubic root of 199164420 is about 583.9879939047.

It can be divided in two parts, 19916 and 4420, that added together give a square (24336 = 156²).

The spelling of 199164420 in words is "one hundred ninety-nine million, one hundred sixty-four thousand, four hundred twenty".