165353760 has 432 divisors, whose sum is σ = 677090232. Its totient is φ = 36495360.

The previous prime is 165353759. The next prime is 165353761. The reversal of 165353760 is 67353561.

It is a happy number.

165353760 is a `hidden beast` number, since 1 + 65 + 3 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (165353759) and next prime (165353761).

It can be written as a sum of positive squares in 4 ways, for example, as 108743184 + 56610576 = 10428^2 + 7524^2 .

It is a super-2 number, since 2×165353760² = 54683731892275200, which contains 22 as substring.

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 (165353761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265084 + ... + 2265156.

Almost surely, 2^165353760 is an apocalyptic number.

165353760 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 165353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338545116).

165353760 is an abundant number, since it is smaller than the sum of its proper divisors (511736472).

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

165353760 is a wasteful number, since it uses less digits than its factorization.

165353760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 165353760 is about 12858.9952951232. The cubic root of 165353760 is about 548.8723562824.

The spelling of 165353760 in words is "one hundred sixty-five million, three hundred fifty-three thousand, seven hundred sixty".