36303120 has 240 divisors, whose sum is σ = 145883520. Its totient is φ = 8297856.

The previous prime is 36303103. The next prime is 36303133. The reversal of 36303120 is 2130363.

It is a happy number.

36303120 is a `hidden beast` number, since 3 + 630 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 36303093 and 36303102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5186157 + ... + 5186163.

It is an arithmetic number, because the mean of its divisors is an integer number (607848).

Almost surely, 2^36303120 is an apocalyptic number.

36303120 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 36303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72941760).

36303120 is an abundant number, since it is smaller than the sum of its proper divisors (109580400).

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

36303120 is an frugal number, since it uses more digits than its factorization.

36303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36303120 is about 6025.2070503842. The cubic root of 36303120 is about 331.1168768504.

Adding to 36303120 its reverse (2130363), we get a palindrome (38433483).

The spelling of 36303120 in words is "thirty-six million, three hundred three thousand, one hundred twenty".