36633120 has 96 divisors (see below), whose sum is σ = 116339328. Its totient is φ = 9689088.

The previous prime is 36633101. The next prime is 36633161. The reversal of 36633120 is 2133663.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79932 + ... + 80388.

It is an arithmetic number, because the mean of its divisors is an integer number (1211868).

Almost surely, 2^36633120 is an apocalyptic number.

36633120 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 36633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58169664).

36633120 is an abundant number, since it is smaller than the sum of its proper divisors (79706208).

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

36633120 is a wasteful number, since it uses less digits than its factorization.

36633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36633120 is about 6052.5300494917. The cubic root of 36633120 is about 332.1171503154.

Adding to 36633120 its reverse (2133663), we get a palindrome (38766783).

The spelling of 36633120 in words is "thirty-six million, six hundred thirty-three thousand, one hundred twenty".