36636516 has 192 divisors, whose sum is σ = 118272000. Its totient is φ = 9779616.

The previous prime is 36636511. The next prime is 36636527. The reversal of 36636516 is 61563663.

It is a happy number.

36636516 is a `hidden beast` number, since 3 + 6 + 636 + 5 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36636511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851991 + ... + 852033.

It is an arithmetic number, because the mean of its divisors is an integer number (616000).

Almost surely, 2^36636516 is an apocalyptic number.

36636516 is a gapful number since it is divisible by the number (36) 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 36636516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136000).

36636516 is an abundant number, since it is smaller than the sum of its proper divisors (81635484).

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

36636516 is a wasteful number, since it uses less digits than its factorization.

36636516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 36636516 is about 6052.8105868266. The cubic root of 36636516 is about 332.1274127500.

The spelling of 36636516 in words is "thirty-six million, six hundred thirty-six thousand, five hundred sixteen".