164520240 has 160 divisors (see below), whose sum is σ = 543417600. Its totient is φ = 41057280.

The previous prime is 164520227. The next prime is 164520247. The reversal of 164520240 is 42025461.

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 164520240.

It is not an unprimeable number, because it can be changed into a prime (164520247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496875 + ... + 497205.

It is an arithmetic number, because the mean of its divisors is an integer number (3396360).

Almost surely, 2^164520240 is an apocalyptic number.

164520240 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 164520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271708800).

164520240 is an abundant number, since it is smaller than the sum of its proper divisors (378897360).

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

164520240 is a wasteful number, since it uses less digits than its factorization.

164520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

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

The square root of 164520240 is about 12826.5443514612. The cubic root of 164520240 is about 547.9485450826.

The spelling of 164520240 in words is "one hundred sixty-four million, five hundred twenty thousand, two hundred forty".