36160800 has 288 divisors, whose sum is σ = 135616320. Its totient is φ = 8294400.

The previous prime is 36160799. The next prime is 36160801. The reversal of 36160800 is 806163.

It is an interprime number because it is at equal distance from previous prime (36160799) and next prime (36160801).

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 (36160801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592770 + ... + 592830.

It is an arithmetic number, because the mean of its divisors is an integer number (470890).

Almost surely, 2^36160800 is an apocalyptic number.

36160800 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 36160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

36160800 is an abundant number, since it is smaller than the sum of its proper divisors (99455520).

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

36160800 is a wasteful number, since it uses less digits than its factorization.

36160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 36160800 is about 6013.3850699918. The cubic root of 36160800 is about 330.6836150117.

Adding to 36160800 its reverse (806163), we get a palindrome (36966963).

The spelling of 36160800 in words is "thirty-six million, one hundred sixty thousand, eight hundred".