161071680 has 224 divisors, whose sum is σ = 637885440. Its totient is φ = 33454080.

The previous prime is 161071663. The next prime is 161071697. The reversal of 161071680 is 86170161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161071663) and next prime (161071697).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72831 + ... + 75009.

Almost surely, 2^161071680 is an apocalyptic number.

161071680 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 161071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318942720).

161071680 is an abundant number, since it is smaller than the sum of its proper divisors (476813760).

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

161071680 is a wasteful number, since it uses less digits than its factorization.

161071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 161071680 is about 12691.4018138266. The cubic root of 161071680 is about 544.0929051245.

The spelling of 161071680 in words is "one hundred sixty-one million, seventy-one thousand, six hundred eighty".