36061920 has 144 divisors (see below), whose sum is σ = 125012160. Its totient is φ = 9464832.

The previous prime is 36061903. The next prime is 36061933. The reversal of 36061920 is 2916063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113602 + ... + 113918.

It is an arithmetic number, because the mean of its divisors is an integer number (868140).

Almost surely, 2^36061920 is an apocalyptic number.

36061920 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 36061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62506080).

36061920 is an abundant number, since it is smaller than the sum of its proper divisors (88950240).

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

36061920 is a wasteful number, since it uses less digits than its factorization.

36061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36061920 is about 6005.1577831061. The cubic root of 36061920 is about 330.3819269506.

Adding to 36061920 its reverse (2916063), we get a palindrome (38977983).

The spelling of 36061920 in words is "thirty-six million, sixty-one thousand, nine hundred twenty".