161203968 has 216 divisors, whose sum is σ = 500829056. Its totient is φ = 49766400.

The previous prime is 161203949. The next prime is 161203969. The reversal of 161203968 is 869302161.

161203968 is a `hidden beast` number, since 1 + 612 + 0 + 39 + 6 + 8 = 666.

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 (161203969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642658 + ... + 2642718.

Almost surely, 2^161203968 is an apocalyptic number.

161203968 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 161203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250414528).

161203968 is an abundant number, since it is smaller than the sum of its proper divisors (339625088).

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

161203968 is a wasteful number, since it uses less digits than its factorization.

161203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 161203968 is about 12696.6124615978. The cubic root of 161203968 is about 544.2418186732.

Subtracting from 161203968 its product of nonzero digits (15552), we obtain a square (161188416 = 12696²).

The spelling of 161203968 in words is "one hundred sixty-one million, two hundred three thousand, nine hundred sixty-eight".