161040 has 80 divisors (see below), whose sum is σ = 553536. Its totient is φ = 38400.

The previous prime is 161039. The next prime is 161047. The reversal of 161040 is 40161.

161040 = T₄₀ + T₄₁ + ... + T₁₀₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (161047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2610 + ... + 2670.

2¹⁶¹⁰⁴⁰ is an apocalyptic number.

161040 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 161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768).

161040 is an abundant number, since it is smaller than the sum of its proper divisors (392496).

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

161040 is a wasteful number, since it uses less digits than its factorization.

161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 161040 is about 401.2978943379. The cubic root of 161040 is about 54.4057231580.

Subtracting from 161040 its sum of digits (12), we obtain a triangular number (161028 = T₅₆₇).

The spelling of 161040 in words is "one hundred sixty-one thousand, forty".