164677968 has 320 divisors, whose sum is σ = 599961600. Its totient is φ = 42094080.

The previous prime is 164677913. The next prime is 164677987. The reversal of 164677968 is 869776461.

It is a happy number.

It is a super-4 number, since 4×164677968⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319373 + ... + 2319443.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^164677968 is an apocalyptic number.

164677968 is a gapful number since it is divisible by the number (18) 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 164677968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

164677968 is an abundant number, since it is smaller than the sum of its proper divisors (435283632).

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

164677968 is a wasteful number, since it uses less digits than its factorization.

164677968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 164677968 is about 12832.6913778833. The cubic root of 164677968 is about 548.1235979581.

The spelling of 164677968 in words is "one hundred sixty-four million, six hundred seventy-seven thousand, nine hundred sixty-eight".