36608040 has 192 divisors, whose sum is σ = 138528000. Its totient is φ = 8211456.

The previous prime is 36608029. The next prime is 36608051. The reversal of 36608040 is 4080663.

It is an interprime number because it is at equal distance from previous prime (36608029) and next prime (36608051).

It is a junction number, because it is equal to n+sod(n) for n = 36607995 and 36608013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183861 + ... + 184059.

It is an arithmetic number, because the mean of its divisors is an integer number (721500).

Almost surely, 2^36608040 is an apocalyptic number.

36608040 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 36608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264000).

36608040 is an abundant number, since it is smaller than the sum of its proper divisors (101919960).

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

36608040 is a wasteful number, since it uses less digits than its factorization.

36608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36608040 is about 6050.4578339164. The cubic root of 36608040 is about 332.0413409593.

The spelling of 36608040 in words is "thirty-six million, six hundred eight thousand, forty".