36560160 has 480 divisors, whose sum is σ = 163924992. Its totient is φ = 7464960.

The previous prime is 36560143. The next prime is 36560171. The reversal of 36560160 is 6106563.

36560160 is a `hidden beast` number, since 3 + 656 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179345 + ... + 1179375.

Almost surely, 2^36560160 is an apocalyptic number.

36560160 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 36560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962496).

36560160 is an abundant number, since it is smaller than the sum of its proper divisors (127364832).

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

36560160 is a wasteful number, since it uses less digits than its factorization.

36560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 36560160 is about 6046.4998139419. The cubic root of 36560160 is about 331.8965178043.

The spelling of 36560160 in words is "thirty-six million, five hundred sixty thousand, one hundred sixty".