164405376 has 160 divisors (see below), whose sum is σ = 497259180. Its totient is φ = 53913600.

The previous prime is 164405363. The next prime is 164405401. The reversal of 164405376 is 673504461.

It is a happy number.

164405376 is a `hidden beast` number, since 1 + 644 + 0 + 5 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 5645376 = 12600^2 + 2376^2 .

It is a super-3 number, since 3×164405376³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164405376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047090 + ... + 1047246.

Almost surely, 2^164405376 is an apocalyptic number.

164405376 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 164405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248629590).

164405376 is an abundant number, since it is smaller than the sum of its proper divisors (332853804).

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

164405376 is a wasteful number, since it uses less digits than its factorization.

164405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164405376 is about 12822.0659801765. The cubic root of 164405376 is about 547.8209939781.

The spelling of 164405376 in words is "one hundred sixty-four million, four hundred five thousand, three hundred seventy-six".