36676640 has 192 divisors, whose sum is σ = 116847360. Its totient is φ = 10506240.

The previous prime is 36676609. The next prime is 36676643. The reversal of 36676640 is 4667663.

It is a junction number, because it is equal to n+sod(n) for n = 36676594 and 36676603.

It is not an unprimeable number, because it can be changed into a prime (36676643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160046 + ... + 160274.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 2^36676640 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 36676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

36676640 is an abundant number, since it is smaller than the sum of its proper divisors (80170720).

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

36676640 is a wasteful number, since it uses less digits than its factorization.

36676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 36676640 is about 6056.1241730995. The cubic root of 36676640 is about 332.2486162174.

It can be divided in two parts, 36 and 676640, that added together give a palindrome (676676).

The spelling of 36676640 in words is "thirty-six million, six hundred seventy-six thousand, six hundred forty".