164199420 has 288 divisors, whose sum is σ = 643507200. Its totient is φ = 34024320.

The previous prime is 164199403. The next prime is 164199439. The reversal of 164199420 is 24991461.

It is a happy number.

164199420 is a `hidden beast` number, since 1 + 641 + 9 + 9 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×164199420² = 53922899056672800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 457201 + ... + 457559.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2^164199420 is an apocalyptic number.

164199420 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 164199420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

164199420 is an abundant number, since it is smaller than the sum of its proper divisors (479307780).

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

164199420 is a wasteful number, since it uses less digits than its factorization.

164199420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

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

The square root of 164199420 is about 12814.0321522930. The cubic root of 164199420 is about 547.5921406193.

The spelling of 164199420 in words is "one hundred sixty-four million, one hundred ninety-nine thousand, four hundred twenty".