161319600 has 300 divisors, whose sum is σ = 625126656. Its totient is φ = 39605760.

The previous prime is 161319589. The next prime is 161319601. The reversal of 161319600 is 6913161.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (161319601) 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 59 ways as a sum of consecutive naturals, for example, 421009 + ... + 421391.

Almost surely, 2^161319600 is an apocalyptic number.

161319600 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 161319600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312563328).

161319600 is an abundant number, since it is smaller than the sum of its proper divisors (463807056).

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

161319600 is a wasteful number, since it uses less digits than its factorization.

161319600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 161319600 is about 12701.1653008691. The cubic root of 161319600 is about 544.3719162337.

The spelling of 161319600 in words is "one hundred sixty-one million, three hundred nineteen thousand, six hundred".