36081600 has 84 divisors (see below), whose sum is σ = 118393464. Its totient is φ = 9620480.

The previous prime is 36081593. The next prime is 36081607. The reversal of 36081600 is 618063.

It is an interprime number because it is at equal distance from previous prime (36081593) and next prime (36081607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36081607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (1409446).

Almost surely, 2^36081600 is an apocalyptic number.

36081600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59196732).

36081600 is an abundant number, since it is smaller than the sum of its proper divisors (82311864).

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

36081600 is a wasteful number, since it uses less digits than its factorization.

36081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 36081600 is about 6006.7961510276. The cubic root of 36081600 is about 330.4420155790.

Adding to 36081600 its reverse (618063), we get a palindrome (36699663).

The spelling of 36081600 in words is "thirty-six million, eighty-one thousand, six hundred".