165416760 has 96 divisors (see below), whose sum is σ = 540540000. Its totient is φ = 43870464.

The previous prime is 165416737. The next prime is 165416761. The reversal of 165416760 is 67614561.

165416760 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165416761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70486 + ... + 72794.

It is an arithmetic number, because the mean of its divisors is an integer number (5630625).

Almost surely, 2^165416760 is an apocalyptic number.

165416760 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 165416760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270000).

165416760 is an abundant number, since it is smaller than the sum of its proper divisors (375123240).

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

165416760 is a wasteful number, since it uses less digits than its factorization.

165416760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 165416760 is about 12861.4447088964. Note that the first 3 decimals coincide. The cubic root of 165416760 is about 548.9420544613.

It can be divided in two parts, 165416 and 760, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 165416760 in words is "one hundred sixty-five million, four hundred sixteen thousand, seven hundred sixty".