363776 has 54 divisors (see below), whose sum is σ = 873810. Its totient is φ = 150528.

The previous prime is 363773. The next prime is 363799. The reversal of 363776 is 677363.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 50176 = 560^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12530 + ... + 12558.

2³⁶³⁷⁷⁶ 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 363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436905).

363776 is an abundant number, since it is smaller than the sum of its proper divisors (510034).

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

363776 is an equidigital number, since it uses as much as digits as its factorization.

363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its digits is 15876, while the sum is 32.

The square root of 363776 is about 603.1384583991. The cubic root of 363776 is about 71.3857205841.

The spelling of 363776 in words is "three hundred sixty-three thousand, seven hundred seventy-six".