36855648 has 120 divisors (see below), whose sum is σ = 110685960. Its totient is φ = 12026880.

The previous prime is 36855647. The next prime is 36855653. The reversal of 36855648 is 84655863.

36855648 is a `hidden beast` number, since 3 + 6 + 85 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36855647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152808 + ... + 153048.

It is an arithmetic number, because the mean of its divisors is an integer number (922383).

Almost surely, 2^36855648 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 36855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342980).

36855648 is an abundant number, since it is smaller than the sum of its proper divisors (73830312).

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

36855648 is a wasteful number, since it uses less digits than its factorization.

36855648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 36855648 is about 6070.8852731706. The cubic root of 36855648 is about 332.7882754437.

The spelling of 36855648 in words is "thirty-six million, eight hundred fifty-five thousand, six hundred forty-eight".