36809648 has 40 divisors (see below), whose sum is σ = 75233280. Its totient is φ = 17421120.

The previous prime is 36809629. The next prime is 36809651. The reversal of 36809648 is 84690863.

It is a junction number, because it is equal to n+sod(n) for n = 36809599 and 36809608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22523 + ... + 24101.

It is an arithmetic number, because the mean of its divisors is an integer number (1880832).

Almost surely, 2^36809648 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 36809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37616640).

36809648 is an abundant number, since it is smaller than the sum of its proper divisors (38423632).

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

36809648 is a wasteful number, since it uses less digits than its factorization.

36809648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 36809648 is about 6067.0955159780. The cubic root of 36809648 is about 332.6497653850.

The spelling of 36809648 in words is "thirty-six million, eight hundred nine thousand, six hundred forty-eight".