736220160 has 264 divisors, whose sum is σ = 2749448520. Its totient is φ = 181075968.

The previous prime is 736220081. The next prime is 736220237. The reversal of 736220160 is 61022637.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 589906944 = 12096^2 + 24288^2 .

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, 598426 + ... + 599654.

Almost surely, 2^736220160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374724260).

736220160 is an abundant number, since it is smaller than the sum of its proper divisors (2013228360).

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

736220160 is a wasteful number, since it uses less digits than its factorization.

736220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 736220160 is about 27133.3772317417. The cubic root of 736220160 is about 902.9615035667.

Adding to 736220160 its reverse (61022637), we get a palindrome (797242797).

The spelling of 736220160 in words is "seven hundred thirty-six million, two hundred twenty thousand, one hundred sixty".