36661560 has 128 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 8870400.

The previous prime is 36661543. The next prime is 36661577. The reversal of 36661560 is 6516663.

36661560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36661543) and next prime (36661577).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110595 + ... + 110925.

It is an arithmetic number, because the mean of its divisors is an integer number (941220).

Almost surely, 2^36661560 is an apocalyptic number.

36661560 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 36661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

36661560 is an abundant number, since it is smaller than the sum of its proper divisors (83814600).

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

36661560 is a wasteful number, since it uses less digits than its factorization.

36661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 36661560 is about 6054.8790243902. The cubic root of 36661560 is about 332.2030740961.

The spelling of 36661560 in words is "thirty-six million, six hundred sixty-one thousand, five hundred sixty".