36126624 has 48 divisors (see below), whose sum is σ = 95745888. Its totient is φ = 11926272.

The previous prime is 36126611. The next prime is 36126631. The reversal of 36126624 is 42662163.

36126624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36126591 and 36126600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8514 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (1994706).

Almost surely, 2^36126624 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 36126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47872944).

36126624 is an abundant number, since it is smaller than the sum of its proper divisors (59619264).

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

36126624 is a wasteful number, since it uses less digits than its factorization.

36126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3629 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 36126624 is about 6010.5427375571. The cubic root of 36126624 is about 330.5794045087.

Adding to 36126624 its reverse (42662163), we get a palindrome (78788787).

The spelling of 36126624 in words is "thirty-six million, one hundred twenty-six thousand, six hundred twenty-four".