36501120 has 96 divisors (see below), whose sum is σ = 126062820. Its totient is φ = 9732096.

The previous prime is 36501107. The next prime is 36501139. The reversal of 36501120 is 2110563.

36501120 is a `hidden beast` number, since 3 + 650 + 1 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 788544 = 5976^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36501120² = 2664663522508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36501093 and 36501102.

It is an unprimeable number.

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, 2592 + ... + 8928.

Almost surely, 2^36501120 is an apocalyptic number.

36501120 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 36501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63031410).

36501120 is an abundant number, since it is smaller than the sum of its proper divisors (89561700).

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

36501120 is a wasteful number, since it uses less digits than its factorization.

36501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 36501120 is about 6041.6156779458. The cubic root of 36501120 is about 331.7177646863.

Adding to 36501120 its reverse (2110563), we get a palindrome (38611683).

The spelling of 36501120 in words is "thirty-six million, five hundred one thousand, one hundred twenty".