36630560 has 48 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 14558976.

The previous prime is 36630551. The next prime is 36630571. The reversal of 36630560 is 6503663.

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, 28001 + ... + 29279.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^36630560 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 36630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

36630560 is an abundant number, since it is smaller than the sum of its proper divisors (50460640).

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

36630560 is a wasteful number, since it uses less digits than its factorization.

36630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 36630560 is about 6052.3185639885. The cubic root of 36630560 is about 332.1094137853.

The spelling of 36630560 in words is "thirty-six million, six hundred thirty thousand, five hundred sixty".