164873376 has 144 divisors (see below), whose sum is σ = 493758720. Its totient is φ = 52116480.

The previous prime is 164873353. The next prime is 164873377. The reversal of 164873376 is 673378461.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×164873376² = 54366460227274752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164873377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526596 + ... + 526908.

It is an arithmetic number, because the mean of its divisors is an integer number (3428880).

Almost surely, 2^164873376 is an apocalyptic number.

164873376 is a gapful number since it is divisible by the number (16) 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 164873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246879360).

164873376 is an abundant number, since it is smaller than the sum of its proper divisors (328885344).

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

164873376 is a wasteful number, since it uses less digits than its factorization.

164873376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 164873376 is about 12840.3028001679. The cubic root of 164873376 is about 548.3403146614.

The spelling of 164873376 in words is "one hundred sixty-four million, eight hundred seventy-three thousand, three hundred seventy-six".