36505760 has 48 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 14496000.

The previous prime is 36505747. The next prime is 36505771. The reversal of 36505760 is 6750563.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 23405 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^36505760 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 36505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736).

36505760 is an abundant number, since it is smaller than the sum of its proper divisors (50367712).

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

36505760 is a wasteful number, since it uses less digits than its factorization.

36505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 36505760 is about 6041.9996689838. Note that the first 3 decimals coincide. The cubic root of 36505760 is about 331.7318200104.

36505760 divided by its sum of digits (32) gives a triangular number (1140805 = T₁₅₁₀).

The spelling of 36505760 in words is "thirty-six million, five hundred five thousand, seven hundred sixty".