36124800 has 192 divisors, whose sum is σ = 122938560. Its totient is φ = 9318400.

The previous prime is 36124799. The next prime is 36124801. The reversal of 36124800 is 842163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36124799) and next prime (36124801).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (36124801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508765 + ... + 508835.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 2^36124800 is an apocalyptic number.

36124800 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 36124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61469280).

36124800 is an abundant number, since it is smaller than the sum of its proper divisors (86813760).

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

36124800 is a wasteful number, since it uses less digits than its factorization.

36124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36124800 is about 6010.3910022560. The cubic root of 36124800 is about 330.5738408651.

Adding to 36124800 its reverse (842163), we get a palindrome (36966963).

The spelling of 36124800 in words is "thirty-six million, one hundred twenty-four thousand, eight hundred".