361768 has 16 divisors (see below), whose sum is σ = 740160. Its totient is φ = 164400.

The previous prime is 361763. The next prime is 361769. The reversal of 361768 is 867163.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (361763) by changing a digit.

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, 1968 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (46260).

2³⁶¹⁷⁶⁸ is an apocalyptic number.

361768 is the 322-nd centered heptagonal number.

It is an amenable number.

361768 is an abundant number, since it is smaller than the sum of its proper divisors (378392).

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

361768 is a wasteful number, since it uses less digits than its factorization.

361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4124 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 361768 is about 601.4715288357. The cubic root of 361768 is about 71.2541312881.

The spelling of 361768 in words is "three hundred sixty-one thousand, seven hundred sixty-eight".