161481600 has 480 divisors, whose sum is σ = 688683600. Its totient is φ = 36495360.

The previous prime is 161481587. The next prime is 161481601. The reversal of 161481600 is 6184161.

161481600 is a `hidden beast` number, since 16 + 1 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161481601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814356 + ... + 1814444.

Almost surely, 2^161481600 is an apocalyptic number.

161481600 is a gapful number since it is divisible by the number (10) 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 161481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344341800).

161481600 is an abundant number, since it is smaller than the sum of its proper divisors (527202000).

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

161481600 is an equidigital number, since it uses as much as digits as its factorization.

161481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161481600 is about 12707.5410682004. The cubic root of 161481600 is about 544.5540779111.

The spelling of 161481600 in words is "one hundred sixty-one million, four hundred eighty-one thousand, six hundred".