161584704 has 168 divisors, whose sum is σ = 484997760. Its totient is φ = 51397632.

The previous prime is 161584681. The next prime is 161584747. The reversal of 161584704 is 407485161.

It is a happy number.

161584704 is a `hidden beast` number, since 1 + 6 + 1 + 584 + 70 + 4 = 666.

It is a super-2 number, since 2×161584704² = 52219233133535232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045337 + ... + 2045415.

Almost surely, 2^161584704 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 161584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

161584704 is an abundant number, since it is smaller than the sum of its proper divisors (323413056).

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

161584704 is a wasteful number, since it uses less digits than its factorization.

161584704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 161584704 is about 12711.5972245820. The cubic root of 161584704 is about 544.6699502632.

The spelling of 161584704 in words is "one hundred sixty-one million, five hundred eighty-four thousand, seven hundred four".