164810240 has 160 divisors (see below), whose sum is σ = 479058624. Its totient is φ = 53084160.

The previous prime is 164810221. The next prime is 164810273. The reversal of 164810240 is 42018461.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304370 + ... + 304910.

Almost surely, 2^164810240 is an apocalyptic number.

164810240 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 164810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239529312).

164810240 is an abundant number, since it is smaller than the sum of its proper divisors (314248384).

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

164810240 is an equidigital number, since it uses as much as digits as its factorization.

164810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 164810240 is about 12837.8440557595. The cubic root of 164810240 is about 548.2703125888.

The spelling of 164810240 in words is "one hundred sixty-four million, eight hundred ten thousand, two hundred forty".