36103920 has 80 divisors (see below), whose sum is σ = 118519200. Its totient is φ = 9060352.

The previous prime is 36103913. The next prime is 36103957. The reversal of 36103920 is 2930163.

36103920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 8504.

It is an arithmetic number, because the mean of its divisors is an integer number (1481490).

Almost surely, 2^36103920 is an apocalyptic number.

36103920 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 36103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59259600).

36103920 is an abundant number, since it is smaller than the sum of its proper divisors (82415280).

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

36103920 is a wasteful number, since it uses less digits than its factorization.

36103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36103920 is about 6008.6537593707. The cubic root of 36103920 is about 330.5101384402.

The spelling of 36103920 in words is "thirty-six million, one hundred three thousand, nine hundred twenty".