36208640 has 128 divisors (see below), whose sum is σ = 99088920. Its totient is φ = 12582912.

The previous prime is 36208633. The next prime is 36208643. The reversal of 36208640 is 4680263.

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 8667136 = 5248^2 + 2944^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×36208640² = 2622131221299200, which contains 22 as substring.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36208643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129912 + ... + 2129928.

Almost surely, 2^36208640 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 36208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49544460).

36208640 is an abundant number, since it is smaller than the sum of its proper divisors (62880280).

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

36208640 is an equidigital number, since it uses as much as digits as its factorization.

36208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 36208640 is about 6017.3615480541. The cubic root of 36208640 is about 330.8293799727.

The spelling of 36208640 in words is "thirty-six million, two hundred eight thousand, six hundred forty".