165503640 has 64 divisors (see below), whose sum is σ = 499102560. Its totient is φ = 43904000.

The previous prime is 165503633. The next prime is 165503659. The reversal of 165503640 is 46305561.

165503640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165503598 and 165503607.

It is a congruent number.

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, 20140 + ... + 27140.

Almost surely, 2^165503640 is an apocalyptic number.

165503640 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 165503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249551280).

165503640 is an abundant number, since it is smaller than the sum of its proper divisors (333598920).

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

165503640 is a wasteful number, since it uses less digits than its factorization.

165503640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 165503640 is about 12864.8218021083. The cubic root of 165503640 is about 549.0381425452.

The spelling of 165503640 in words is "one hundred sixty-five million, five hundred three thousand, six hundred forty".