36634560 has 112 divisors (see below), whose sum is σ = 120164352. Its totient is φ = 9446400.

The previous prime is 36634517. The next prime is 36634567. The reversal of 36634560 is 6543663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36634567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29145 + ... + 30375.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 2^36634560 is an apocalyptic number.

36634560 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 36634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

36634560 is an abundant number, since it is smaller than the sum of its proper divisors (83529792).

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

36634560 is a wasteful number, since it uses less digits than its factorization.

36634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 36634560 is about 6052.6490068399. The cubic root of 36634560 is about 332.1215019552.

The spelling of 36634560 in words is "thirty-six million, six hundred thirty-four thousand, five hundred sixty".