36832064 has 56 divisors (see below), whose sum is σ = 78409800. Its totient is φ = 17104896.

The previous prime is 36832049. The next prime is 36832073. The reversal of 36832064 is 46023863.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 23814400 = 3608^2 + 4880^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36832064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105362 + ... + 105710.

It is an arithmetic number, because the mean of its divisors is an integer number (1400175).

Almost surely, 2^36832064 is an apocalyptic number.

36832064 is a gapful number since it is divisible by the number (34) 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 36832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204900).

36832064 is an abundant number, since it is smaller than the sum of its proper divisors (41577736).

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

36832064 is a wasteful number, since it uses less digits than its factorization.

36832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 36832064 is about 6068.9425767592. The cubic root of 36832064 is about 332.7172763450.

The spelling of 36832064 in words is "thirty-six million, eight hundred thirty-two thousand, sixty-four".