164859240 has 256 divisors, whose sum is σ = 629637120. Its totient is φ = 33592320.

The previous prime is 164859223. The next prime is 164859259. The reversal of 164859240 is 42958461.

164859240 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338277 + ... + 338763.

It is an arithmetic number, because the mean of its divisors is an integer number (2459520).

Almost surely, 2^164859240 is an apocalyptic number.

164859240 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 164859240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314818560).

164859240 is an abundant number, since it is smaller than the sum of its proper divisors (464777880).

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

164859240 is a wasteful number, since it uses less digits than its factorization.

164859240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 164859240 is about 12839.7523340600. The cubic root of 164859240 is about 548.3246429170.

The spelling of 164859240 in words is "one hundred sixty-four million, eight hundred fifty-nine thousand, two hundred forty".