164250240 has 384 divisors, whose sum is σ = 664191360. Its totient is φ = 33792000.

The previous prime is 164250211. The next prime is 164250241. The reversal of 164250240 is 42052461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164250240.

It is not an unprimeable number, because it can be changed into a prime (164250241) 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, 1626190 + ... + 1626290.

It is an arithmetic number, because the mean of its divisors is an integer number (1729665).

Almost surely, 2^164250240 is an apocalyptic number.

164250240 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 164250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332095680).

164250240 is an abundant number, since it is smaller than the sum of its proper divisors (499941120).

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

164250240 is a wasteful number, since it uses less digits than its factorization.

164250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164250240 is about 12816.0149812647. The cubic root of 164250240 is about 547.6486283586.

The spelling of 164250240 in words is "one hundred sixty-four million, two hundred fifty thousand, two hundred forty".