164238840 has 192 divisors, whose sum is σ = 564651360. Its totient is φ = 42923520.

The previous prime is 164238829. The next prime is 164238847. The reversal of 164238840 is 48832461.

164238840 is a `hidden beast` number, since 1 + 642 + 3 + 8 + 8 + 4 + 0 = 666.

164238840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 164238795 and 164238804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164238847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592782 + ... + 593058.

Almost surely, 2^164238840 is an apocalyptic number.

164238840 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 164238840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282325680).

164238840 is an abundant number, since it is smaller than the sum of its proper divisors (400412520).

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

164238840 is a wasteful number, since it uses less digits than its factorization.

164238840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 164238840 is about 12815.5702175128. The cubic root of 164238840 is about 547.6359579787.

The spelling of 164238840 in words is "one hundred sixty-four million, two hundred thirty-eight thousand, eight hundred forty".