164240928 has 72 divisors (see below), whose sum is σ = 479714508. Its totient is φ = 53263872.

The previous prime is 164240897. The next prime is 164240977. The reversal of 164240928 is 829042461.

164240928 is a `hidden beast` number, since 1 + 642 + 4 + 0 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135210384 + 29030544 = 11628^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 164240892 and 164240901.

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 11 ways as a sum of consecutive naturals, for example, 2950 + ... + 18362.

Almost surely, 2^164240928 is an apocalyptic number.

164240928 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 164240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239857254).

164240928 is an abundant number, since it is smaller than the sum of its proper divisors (315473580).

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

164240928 is a wasteful number, since it uses less digits than its factorization.

164240928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15466 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164240928 is about 12815.6516806599. The cubic root of 164240928 is about 547.6382787027.

The spelling of 164240928 in words is "one hundred sixty-four million, two hundred forty thousand, nine hundred twenty-eight".