361776 has 20 divisors (see below), whose sum is σ = 934712. Its totient is φ = 120576.

The previous prime is 361769. The next prime is 361787. The reversal of 361776 is 677163.

361776 is nontrivially palindromic in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361776.

It is an unprimeable number.

361776 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3721 + ... + 3816.

2³⁶¹⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

361776 is an abundant number, since it is smaller than the sum of its proper divisors (572936).

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

361776 is a wasteful number, since it uses less digits than its factorization.

361776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7542 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 361776 is about 601.4781791553. The cubic root of 361776 is about 71.2546565132.

It can be divided in two parts, 36 and 1776, that multiplied together give a palindrome (63936).

The spelling of 361776 in words is "three hundred sixty-one thousand, seven hundred seventy-six".