165335040 has 416 divisors, whose sum is σ = 660522240. Its totient is φ = 38928384.

The previous prime is 165335021. The next prime is 165335041. The reversal of 165335040 is 40533561.

165335040 is a `hidden beast` number, since 1 + 653 + 3 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 165334995 and 165335013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165335041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188469 + ... + 7188491.

Almost surely, 2^165335040 is an apocalyptic number.

165335040 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 165335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330261120).

165335040 is an abundant number, since it is smaller than the sum of its proper divisors (495187200).

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

165335040 is a wasteful number, since it uses less digits than its factorization.

165335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 165335040 is about 12858.2673793945. The cubic root of 165335040 is about 548.8516425547.

The spelling of 165335040 in words is "one hundred sixty-five million, three hundred thirty-five thousand, forty".