361788 has 48 divisors (see below), whose sum is σ = 994560. Its totient is φ = 100224.

The previous prime is 361787. The next prime is 361789. The reversal of 361788 is 887163.

It is an interprime number because it is at equal distance from previous prime (361787) and next prime (361789).

Its product of digits (8064) is a multiple of the sum of its prime divisors (144).

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 361788.

It is not an unprimeable number, because it can be changed into a prime (361787) 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, 4920 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (20720).

2³⁶¹⁷⁸⁸ 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 361788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497280).

361788 is an abundant number, since it is smaller than the sum of its proper divisors (632772).

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

361788 is a wasteful number, since it uses less digits than its factorization.

361788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 361788 is about 601.4881544968. The cubic root of 361788 is about 71.2554443362.

The spelling of 361788 in words is "three hundred sixty-one thousand, seven hundred eighty-eight".