362016 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 120384.

The previous prime is 362003. The next prime is 362027. The reversal of 362016 is 610263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 362016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2³⁶²⁰¹⁶ is an apocalyptic number.

362016 is a gapful number since it is divisible by the number (36) 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 362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

362016 is an abundant number, since it is smaller than the sum of its proper divisors (696384).

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

362016 is a wasteful number, since it uses less digits than its factorization.

362016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 362016 is about 601.6776545626. The cubic root of 362016 is about 71.2704096655.

Adding to 362016 its reverse (610263), we get a palindrome (972279).

The spelling of 362016 in words is "three hundred sixty-two thousand, sixteen".