161892864 has 240 divisors, whose sum is σ = 559785600. Its totient is φ = 46061568.

The previous prime is 161892859. The next prime is 161892889. The reversal of 161892864 is 468298161.

161892864 is a `hidden beast` number, since 1 + 618 + 9 + 28 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 677257 + ... + 677495.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^161892864 is an apocalyptic number.

161892864 is a gapful number since it is divisible by the number (14) 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 161892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279892800).

161892864 is an abundant number, since it is smaller than the sum of its proper divisors (397892736).

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

161892864 is an equidigital number, since it uses as much as digits as its factorization.

161892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 161892864 is about 12723.7126657277. The cubic root of 161892864 is about 545.0159791067.

It can be divided in two parts, 161 and 892864, that added together give a square (893025 = 945²).

The spelling of 161892864 in words is "one hundred sixty-one million, eight hundred ninety-two thousand, eight hundred sixty-four".