164755240 has 64 divisors (see below), whose sum is σ = 403295760. Its totient is φ = 60211200.

The previous prime is 164755223. The next prime is 164755259. The reversal of 164755240 is 42557461.

It can be written as a sum of positive squares in 8 ways, for example, as 141657604 + 23097636 = 11902^2 + 4806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164755196 and 164755205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50952 + ... + 54088.

Almost surely, 2^164755240 is an apocalyptic number.

164755240 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 164755240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201647880).

164755240 is an abundant number, since it is smaller than the sum of its proper divisors (238540520).

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

164755240 is a wasteful number, since it uses less digits than its factorization.

164755240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 164755240 is about 12835.7017727898. The cubic root of 164755240 is about 548.2093167384.

The spelling of 164755240 in words is "one hundred sixty-four million, seven hundred fifty-five thousand, two hundred forty".