164419850 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 53544960.

The previous prime is 164419837. The next prime is 164419873. The reversal of 164419850 is 58914461.

It is a super-3 number, since 3×164419850³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984467 + ... + 984633.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^164419850 is an apocalyptic number.

164419850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164419850 is an abundant number, since it is smaller than the sum of its proper divisors (203056630).

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

164419850 is a wasteful number, since it uses less digits than its factorization.

164419850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 164419850 is about 12822.6303853773. The cubic root of 164419850 is about 547.8370699495.

The spelling of 164419850 in words is "one hundred sixty-four million, four hundred nineteen thousand, eight hundred fifty".