36081024 has 128 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 9953280.

The previous prime is 36080983. The next prime is 36081029. The reversal of 36081024 is 42018063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 36080985 and 36081003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36081029) 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, 83112 + ... + 83544.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^36081024 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 36081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

36081024 is an abundant number, since it is smaller than the sum of its proper divisors (77245056).

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

36081024 is a wasteful number, since it uses less digits than its factorization.

36081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36081024 is about 6006.7482051439. The cubic root of 36081024 is about 330.4402571978.

Adding to 36081024 its reverse (42018063), we get a palindrome (78099087).

The spelling of 36081024 in words is "thirty-six million, eighty-one thousand, twenty-four".