36882560 has 192 divisors, whose sum is σ = 107516160. Its totient is φ = 11980800.

The previous prime is 36882557. The next prime is 36882563. The reversal of 36882560 is 6528863.

It is an interprime number because it is at equal distance from previous prime (36882557) and next prime (36882563).

It is not an unprimeable number, because it can be changed into a prime (36882563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189745 + ... + 1189775.

It is an arithmetic number, because the mean of its divisors is an integer number (559980).

Almost surely, 2^36882560 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 36882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080).

36882560 is an abundant number, since it is smaller than the sum of its proper divisors (70633600).

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

36882560 is a wasteful number, since it uses less digits than its factorization.

36882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 36882560 is about 6073.1013493931. The cubic root of 36882560 is about 332.8692564199.

It can be divided in two parts, 368 and 82560, that added together give a palindrome (82928).

The spelling of 36882560 in words is "thirty-six million, eight hundred eighty-two thousand, five hundred sixty".