165764416 has 56 divisors (see below), whose sum is σ = 350251776. Its totient is φ = 77568000.

The previous prime is 165764393. The next prime is 165764461. The reversal of 165764416 is 614467561.

165764416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165764416² = 54955683223642112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272785 + ... + 273391.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2^165764416 is an apocalyptic number.

165764416 is a gapful number since it is divisible by the number (16) 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 165764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

165764416 is an abundant number, since it is smaller than the sum of its proper divisors (184487360).

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

165764416 is a wasteful number, since it uses less digits than its factorization.

165764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 165764416 is about 12874.9530484581. The cubic root of 165764416 is about 549.3263554166.

The spelling of 165764416 in words is "one hundred sixty-five million, seven hundred sixty-four thousand, four hundred sixteen".