164896050 has 144 divisors (see below), whose sum is σ = 464782752. Its totient is φ = 38361600.

The previous prime is 164896049. The next prime is 164896051. The reversal of 164896050 is 50698461.

It is an interprime number because it is at equal distance from previous prime (164896049) and next prime (164896051).

It is not an unprimeable number, because it can be changed into a prime (164896051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2258814 + ... + 2258886.

It is an arithmetic number, because the mean of its divisors is an integer number (3227658).

Almost surely, 2^164896050 is an apocalyptic number.

164896050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164896050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232391376).

164896050 is an abundant number, since it is smaller than the sum of its proper divisors (299886702).

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

164896050 is a wasteful number, since it uses less digits than its factorization.

164896050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 164896050 is about 12841.1856929179. The cubic root of 164896050 is about 548.3654501092.

The spelling of 164896050 in words is "one hundred sixty-four million, eight hundred ninety-six thousand, fifty".