36896256 has 160 divisors (see below), whose sum is σ = 116376480. Its totient is φ = 11501568.

The previous prime is 36896243. The next prime is 36896257. The reversal of 36896256 is 65269863.

It is a happy number.

It is a super-2 number, since 2×36896256² = 2722667413635072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36896257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234930 + ... + 235086.

It is an arithmetic number, because the mean of its divisors is an integer number (727353).

Almost surely, 2^36896256 is an apocalyptic number.

36896256 is a gapful number since it is divisible by the number (36) 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 36896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58188240).

36896256 is an abundant number, since it is smaller than the sum of its proper divisors (79480224).

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

36896256 is a wasteful number, since it uses less digits than its factorization.

36896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 36896256 is about 6074.2288399434. The cubic root of 36896256 is about 332.9104539682.

The spelling of 36896256 in words is "thirty-six million, eight hundred ninety-six thousand, two hundred fifty-six".