164451936 has 48 divisors (see below), whose sum is σ = 470933568. Its totient is φ = 49833600.

The previous prime is 164451901. The next prime is 164451961. The reversal of 164451936 is 639154461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 164451894 and 164451903.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 76810 + ... + 78921.

It is an arithmetic number, because the mean of its divisors is an integer number (9811116).

Almost surely, 2^164451936 is an apocalyptic number.

164451936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164451936 is an abundant number, since it is smaller than the sum of its proper divisors (306481632).

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

164451936 is a wasteful number, since it uses less digits than its factorization.

164451936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155755 (or 155747 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 164451936 is about 12823.8814716918. The cubic root of 164451936 is about 547.8727038403.

It can be divided in two parts, 16445 and 1936, that added together give a palindrome (18381).

The spelling of 164451936 in words is "one hundred sixty-four million, four hundred fifty-one thousand, nine hundred thirty-six".