165363440 has 80 divisors (see below), whose sum is σ = 423160416. Its totient is φ = 60093440.

The previous prime is 165363431. The next prime is 165363461. The reversal of 165363440 is 44363561.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 165363397 and 165363406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105704 + ... + 107256.

Almost surely, 2^165363440 is an apocalyptic number.

165363440 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 165363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211580208).

165363440 is an abundant number, since it is smaller than the sum of its proper divisors (257796976).

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

165363440 is a wasteful number, since it uses less digits than its factorization.

165363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 165363440 is about 12859.3716798295. The cubic root of 165363440 is about 548.8830666139.

The spelling of 165363440 in words is "one hundred sixty-five million, three hundred sixty-three thousand, four hundred forty".