36793120 has 216 divisors, whose sum is σ = 114926364. Its totient is φ = 11031552.

The previous prime is 36793111. The next prime is 36793129. The reversal of 36793120 is 2139763.

It is an interprime number because it is at equal distance from previous prime (36793111) and next prime (36793129).

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 2547216 = 5852^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (36793129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1936471 + ... + 1936489.

Almost surely, 2^36793120 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 36793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57463182).

36793120 is an abundant number, since it is smaller than the sum of its proper divisors (78133244).

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

36793120 is a wasteful number, since it uses less digits than its factorization.

36793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 36793120 is about 6065.7332615274. The cubic root of 36793120 is about 332.5999699399.

The spelling of 36793120 in words is "thirty-six million, seven hundred ninety-three thousand, one hundred twenty".