161264600 has 96 divisors (see below), whose sum is σ = 432353280. Its totient is φ = 54794880.

The previous prime is 161264599. The next prime is 161264627. The reversal of 161264600 is 6462161.

It is a happy number.

It is a Cunningham number, because it is equal to 12699²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 161264600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177347 + ... + 178253.

It is an arithmetic number, because the mean of its divisors is an integer number (4503680).

Almost surely, 2^161264600 is an apocalyptic number.

161264600 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 161264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216176640).

161264600 is an abundant number, since it is smaller than the sum of its proper divisors (271088680).

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

161264600 is a wasteful number, since it uses less digits than its factorization.

161264600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 161264600 is about 12698.9999606268. Note that the first 4 decimals coincide. The cubic root of 161264600 is about 544.3100434902.

The spelling of 161264600 in words is "one hundred sixty-one million, two hundred sixty-four thousand, six hundred".