36006464 has 42 divisors (see below), whose sum is σ = 77392530. Its totient is φ = 16613376.

The previous prime is 36006449. The next prime is 36006473. The reversal of 36006464 is 46460063.

It can be written as a sum of positive squares in 3 ways, for example, as 102400 + 35904064 = 320^2 + 5992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9152 + ... + 12480.

Almost surely, 2^36006464 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 36006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38696265).

36006464 is an abundant number, since it is smaller than the sum of its proper divisors (41386066).

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

36006464 is a wasteful number, since it uses less digits than its factorization.

36006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 36006464 is about 6000.5386424887. The cubic root of 36006464 is about 330.2124863528.

The spelling of 36006464 in words is "thirty-six million, six thousand, four hundred sixty-four".