36552560 has 80 divisors (see below), whose sum is σ = 94145760. Its totient is φ = 13086720.

The previous prime is 36552553. The next prime is 36552611. The reversal of 36552560 is 6525563.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63956 + ... + 64524.

It is an arithmetic number, because the mean of its divisors is an integer number (1176822).

Almost surely, 2^36552560 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 36552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47072880).

36552560 is an abundant number, since it is smaller than the sum of its proper divisors (57593200).

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

36552560 is a wasteful number, since it uses less digits than its factorization.

36552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 36552560 is about 6045.8713185115. The cubic root of 36552560 is about 331.8735183760.

It can be divided in two parts, 365 and 52560, that multiplied together give a square (19184400 = 4380²).

The spelling of 36552560 in words is "thirty-six million, five hundred fifty-two thousand, five hundred sixty".