161159040 has 288 divisors, whose sum is σ = 648493560. Its totient is φ = 36771840.

The previous prime is 161159039. The next prime is 161159051. The reversal of 161159040 is 40951161.

161159040 is a `hidden beast` number, since 1 + 611 + 5 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 161158995 and 161159013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281955 + ... + 282525.

Almost surely, 2^161159040 is an apocalyptic number.

161159040 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 161159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324246780).

161159040 is an abundant number, since it is smaller than the sum of its proper divisors (487334520).

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

161159040 is a wasteful number, since it uses less digits than its factorization.

161159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 161159040 is about 12694.8430474740. The cubic root of 161159040 is about 544.1912533993.

It can be divided in two parts, 161 and 159040, that added together give a square (159201 = 399²).

The spelling of 161159040 in words is "one hundred sixty-one million, one hundred fifty-nine thousand, forty".