36124920 has 256 divisors, whose sum is σ = 135475200. Its totient is φ = 8501760.

The previous prime is 36124877. The next prime is 36124931. The reversal of 36124920 is 2942163.

36124920 is a `hidden beast` number, since 3 + 612 + 49 + 2 + 0 = 666.

36124920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 435199 + ... + 435281.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^36124920 is an apocalyptic number.

36124920 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 36124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

36124920 is an abundant number, since it is smaller than the sum of its proper divisors (99350280).

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

36124920 is a wasteful number, since it uses less digits than its factorization.

36124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36124920 is about 6010.4009849593. The cubic root of 36124920 is about 330.5742069001.

It can be divided in two parts, 361 and 24920, that added together give a square (25281 = 159²).

The spelling of 36124920 in words is "thirty-six million, one hundred twenty-four thousand, nine hundred twenty".