164028240 has 200 divisors, whose sum is σ = 603610920. Its totient is φ = 41140224.

The previous prime is 164028239. The next prime is 164028259. The reversal of 164028240 is 42820461.

164028240 is a `hidden beast` number, since 16 + 402 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 148060224 = 3996^2 + 12168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109416 + ... + 110904.

Almost surely, 2^164028240 is an apocalyptic number.

164028240 is a gapful number since it is divisible by the number (10) 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 164028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301805460).

164028240 is an abundant number, since it is smaller than the sum of its proper divisors (439582680).

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

164028240 is a wasteful number, since it uses less digits than its factorization.

164028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164028240 is about 12807.3510141637. The cubic root of 164028240 is about 547.4017838457.

It can be divided in two parts, 16402 and 8240, that added together give a palindrome (24642).

The spelling of 164028240 in words is "one hundred sixty-four million, twenty-eight thousand, two hundred forty".