361536 has 56 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 102912.

The previous prime is 361531. The next prime is 361541. The reversal of 361536 is 635163.

It is an interprime number because it is at equal distance from previous prime (361531) and next prime (361541).

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361536.

It is not an unprimeable number, because it can be changed into a prime (361531) by changing a digit.

361536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 1478.

2³⁶¹⁵³⁶ 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 361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

361536 is an abundant number, since it is smaller than the sum of its proper divisors (735744).

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

361536 is a wasteful number, since it uses less digits than its factorization.

361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 361536 is about 601.2786375716. The cubic root of 361536 is about 71.2388963922.

Adding to 361536 its reverse (635163), we get a palindrome (996699).

The spelling of 361536 in words is "three hundred sixty-one thousand, five hundred thirty-six".