361662 has 32 divisors (see below), whose sum is σ = 844800. Its totient is φ = 101088.

The previous prime is 361651. The next prime is 361663. The reversal of 361662 is 266163.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361662.

It is not an unprimeable number, because it can be changed into a prime (361663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264 + ... + 3372.

It is an arithmetic number, because the mean of its divisors is an integer number (26400).

2³⁶¹⁶⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422400).

361662 is an abundant number, since it is smaller than the sum of its proper divisors (483138).

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

361662 is a wasteful number, since it uses less digits than its factorization.

361662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its digits is 1296, while the sum is 24.

The square root of 361662 is about 601.3834051585. The cubic root of 361662 is about 71.2471713251.

The spelling of 361662 in words is "three hundred sixty-one thousand, six hundred sixty-two".