161878584 has 64 divisors (see below), whose sum is σ = 468403200. Its totient is φ = 45661824.

The previous prime is 161878579. The next prime is 161878597. The reversal of 161878584 is 485878161.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (430080) is a multiple of the sum of its prime divisors (12288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7174 + ... + 19370.

It is an arithmetic number, because the mean of its divisors is an integer number (7318800).

Almost surely, 2^161878584 is an apocalyptic number.

161878584 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 161878584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234201600).

161878584 is an abundant number, since it is smaller than the sum of its proper divisors (306524616).

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

161878584 is a wasteful number, since it uses less digits than its factorization.

161878584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12288 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 161878584 is about 12723.1514963864. The cubic root of 161878584 is about 544.9999539882. Note that the first 4 decimals are identical.

The spelling of 161878584 in words is "one hundred sixty-one million, eight hundred seventy-eight thousand, five hundred eighty-four".