165407040 has 168 divisors, whose sum is σ = 576925440. Its totient is φ = 43490304.

The previous prime is 165407029. The next prime is 165407069. The reversal of 165407040 is 40704561.

165407040 is a `hidden beast` number, since 1 + 654 + 0 + 7 + 0 + 4 + 0 = 666.

165407040 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 junction number, because it is equal to n+sod(n) for n = 165406995 and 165407013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227157 + ... + 227883.

It is an arithmetic number, because the mean of its divisors is an integer number (3434080).

Almost surely, 2^165407040 is an apocalyptic number.

165407040 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 165407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288462720).

165407040 is an abundant number, since it is smaller than the sum of its proper divisors (411518400).

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

165407040 is a wasteful number, since it uses less digits than its factorization.

165407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 165407040 is about 12861.0668297774. The cubic root of 165407040 is about 548.9313021827.

The spelling of 165407040 in words is "one hundred sixty-five million, four hundred seven thousand, forty".