36832320 has 420 divisors, whose sum is σ = 157665420. Its totient is φ = 8128512.

The previous prime is 36832307. The next prime is 36832321. The reversal of 36832320 is 2323863.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 20575296 = 4032^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36832321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270066 + ... + 1270094.

Almost surely, 2^36832320 is an apocalyptic number.

36832320 is a gapful number since it is divisible by the number (30) 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 36832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78832710).

36832320 is an abundant number, since it is smaller than the sum of its proper divisors (120833100).

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

36832320 is a wasteful number, since it uses less digits than its factorization.

36832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36832320 is about 6068.9636677113. The cubic root of 36832320 is about 332.7180471899.

The spelling of 36832320 in words is "thirty-six million, eight hundred thirty-two thousand, three hundred twenty".