165263040 has 84 divisors (see below), whose sum is σ = 568445904. Its totient is φ = 44069376.

The previous prime is 165263029. The next prime is 165263041. The reversal of 165263040 is 40362561.

165263040 is a `hidden beast` number, since 1 + 652 + 6 + 3 + 0 + 4 + 0 = 666.

165263040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 165262995 and 165263013.

It is not an unprimeable number, because it can be changed into a prime (165263041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25812 + ... + 31571.

Almost surely, 2^165263040 is an apocalyptic number.

165263040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165263040 is an abundant number, since it is smaller than the sum of its proper divisors (403182864).

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

165263040 is a wasteful number, since it uses less digits than its factorization.

165263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57406 (or 57393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165263040 is about 12855.4673193937. The cubic root of 165263040 is about 548.7719597967.

The spelling of 165263040 in words is "one hundred sixty-five million, two hundred sixty-three thousand, forty".