161527608 has 320 divisors, whose sum is σ = 551992320. Its totient is φ = 43545600.

The previous prime is 161527603. The next prime is 161527609. The reversal of 161527608 is 806725161.

161527608 is a `hidden beast` number, since 16 + 15 + 27 + 608 = 666.

It is a super-3 number, since 3×161527608³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161527603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3756435 + ... + 3756477.

It is an arithmetic number, because the mean of its divisors is an integer number (1724976).

Almost surely, 2^161527608 is an apocalyptic number.

161527608 is a gapful number since it is divisible by the number (18) 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 161527608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275996160).

161527608 is an abundant number, since it is smaller than the sum of its proper divisors (390464712).

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

161527608 is a wasteful number, since it uses less digits than its factorization.

161527608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 161527608 is about 12709.3512029529. The cubic root of 161527608 is about 544.6057896128.

The spelling of 161527608 in words is "one hundred sixty-one million, five hundred twenty-seven thousand, six hundred eight".