36131600 has 60 divisors (see below), whose sum is σ = 88335120. Its totient is φ = 14198400.

The previous prime is 36131591. The next prime is 36131609. The reversal of 36131600 is 613163.

It is an interprime number because it is at equal distance from previous prime (36131591) and next prime (36131609).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (36131609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22835 + ... + 24365.

It is an arithmetic number, because the mean of its divisors is an integer number (1472252).

Almost surely, 2^36131600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167560).

36131600 is an abundant number, since it is smaller than the sum of its proper divisors (52203520).

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

36131600 is a wasteful number, since it uses less digits than its factorization.

36131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 36131600 is about 6010.9566626287. The cubic root of 36131600 is about 330.5945815667.

Adding to 36131600 its reverse (613163), we get a palindrome (36744763).

The spelling of 36131600 in words is "thirty-six million, one hundred thirty-one thousand, six hundred".