36332064 has 120 divisors (see below), whose sum is σ = 108673488. Its totient is φ = 11905920.

The previous prime is 36332059. The next prime is 36332069. The reversal of 36332064 is 46023363.

36332064 is a `hidden beast` number, since 3 + 633 + 20 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36332059) and next prime (36332069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36332069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277279 + ... + 277409.

Almost surely, 2^36332064 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 36332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336744).

36332064 is an abundant number, since it is smaller than the sum of its proper divisors (72341424).

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

36332064 is a wasteful number, since it uses less digits than its factorization.

36332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36332064 is about 6027.6084809815. The cubic root of 36332064 is about 331.2048518508.

The spelling of 36332064 in words is "thirty-six million, three hundred thirty-two thousand, sixty-four".