164096240 has 160 divisors (see below), whose sum is σ = 503967744. Its totient is φ = 48107520.

The previous prime is 164096167. The next prime is 164096263. The reversal of 164096240 is 42690461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164096197 and 164096206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103937 + ... + 105503.

Almost surely, 2^164096240 is an apocalyptic number.

164096240 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 164096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

164096240 is an abundant number, since it is smaller than the sum of its proper divisors (339871504).

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

164096240 is a wasteful number, since it uses less digits than its factorization.

164096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 164096240 is about 12810.0054644797. The cubic root of 164096240 is about 547.4774175266.

The spelling of 164096240 in words is "one hundred sixty-four million, ninety-six thousand, two hundred forty".