161580 has 24 divisors (see below), whose sum is σ = 452592. Its totient is φ = 43072.

The previous prime is 161573. The next prime is 161591. The reversal of 161580 is 85161.

161580 = T₉ + T₁₀ + ... + T₉₈.

161580 = 43² + 44² + ... + 82².

It is a super-2 number, since 2×161580² = 52216192800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1287 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (18858).

2¹⁶¹⁵⁸⁰ is an apocalyptic number.

161580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161580 is an abundant number, since it is smaller than the sum of its proper divisors (291012).

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

161580 is a wasteful number, since it uses less digits than its factorization.

161580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 161580 is about 401.9701481454. The cubic root of 161580 is about 54.4664664795.

It can be divided in two parts, 161 and 580, that added together give a triangular number (741 = T₃₈).

The spelling of 161580 in words is "one hundred sixty-one thousand, five hundred eighty".