161493264 has 75 divisors (see below), whose sum is σ = 468736213. Its totient is φ = 53678592.

The previous prime is 161493247. The next prime is 161493287. The reversal of 161493264 is 462394161.

The square root of 161493264 is 12708.

It is a perfect power (a square), and thus also a powerful number.

161493264 is a `hidden beast` number, since 1 + 614 + 9 + 32 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 95883264 = 8100^2 + 9792^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 457312 + ... + 457664.

Almost surely, 2^161493264 is an apocalyptic number.

161493264 is the 12708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161493264

161493264 is an abundant number, since it is smaller than the sum of its proper divisors (307242949).

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

161493264 is an frugal number, since it uses more digits than its factorization.

161493264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 358 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 161493264 is about 544.5671888493.

Multiplying 161493264 by its sum of digits (36), we get a square (5813757504 = 76248²).

161493264 divided by its sum of digits (36) gives a square (4485924 = 2118²).

The spelling of 161493264 in words is "one hundred sixty-one million, four hundred ninety-three thousand, two hundred sixty-four".