161760864 has 48 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 53558400.

The previous prime is 161760857. The next prime is 161760877. The reversal of 161760864 is 468067161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 8917 + ... + 20075.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^161760864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

161760864 is an abundant number, since it is smaller than the sum of its proper divisors (265711776).

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

161760864 is a wasteful number, since it uses less digits than its factorization.

161760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 161760864 is about 12718.5244427174. The cubic root of 161760864 is about 544.8678118372.

It can be divided in two parts, 1617 and 60864, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 161760864 in words is "one hundred sixty-one million, seven hundred sixty thousand, eight hundred sixty-four".