36551680 has 132 divisors (see below), whose sum is σ = 98010360. Its totient is φ = 13066240.

The previous prime is 36551663. The next prime is 36551681. The reversal of 36551680 is 8615563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36551681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619491 + ... + 619549.

Almost surely, 2^36551680 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 36551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005180).

36551680 is an abundant number, since it is smaller than the sum of its proper divisors (61458680).

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

36551680 is a wasteful number, since it uses less digits than its factorization.

36551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 36551680 is about 6045.7985411358. The cubic root of 36551680 is about 331.8708550783.

It can be divided in two parts, 3655 and 1680, that added together give a palindrome (5335).

The spelling of 36551680 in words is "thirty-six million, five hundred fifty-one thousand, six hundred eighty".