36126640 has 80 divisors (see below), whose sum is σ = 93270816. Its totient is φ = 12902400.

The previous prime is 36126631. The next prime is 36126647. The reversal of 36126640 is 4662163.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 36126599 and 36126608.

It is not an unprimeable number, because it can be changed into a prime (36126647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53344 + ... + 54016.

Almost surely, 2^36126640 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 36126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46635408).

36126640 is an abundant number, since it is smaller than the sum of its proper divisors (57144176).

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

36126640 is a wasteful number, since it uses less digits than its factorization.

36126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36126640 is about 6010.5440685515. The cubic root of 36126640 is about 330.5794533118.

The spelling of 36126640 in words is "thirty-six million, one hundred twenty-six thousand, six hundred forty".