161807040 has 168 divisors, whose sum is σ = 586038960. Its totient is φ = 40863744.

The previous prime is 161807029. The next prime is 161807053. The reversal of 161807040 is 40708161.

It is a happy number.

161807040 is a `hidden beast` number, since 1 + 618 + 0 + 7 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 161806995 and 161807013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53242 + ... + 56198.

Almost surely, 2^161807040 is an apocalyptic number.

161807040 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 161807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293019480).

161807040 is an abundant number, since it is smaller than the sum of its proper divisors (424231920).

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

161807040 is a wasteful number, since it uses less digits than its factorization.

161807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 161807040 is about 12720.3396181077. The cubic root of 161807040 is about 544.9196526055.

It can be divided in two parts, 16180 and 7040, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 161807040 in words is "one hundred sixty-one million, eight hundred seven thousand, forty".