363540 has 48 divisors (see below), whose sum is σ = 1044288. Its totient is φ = 94464.

The previous prime is 363533. The next prime is 363541. The reversal of 363540 is 45363.

It is a super-2 number, since 2×363540² = 264322663200, which contains 22 as substring.

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 363540.

It is not an unprimeable number, because it can be changed into a prime (363541) by changing a digit.

363540 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 15 ways as a sum of consecutive naturals, for example, 4339 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (21756).

2³⁶³⁵⁴⁰ is an apocalyptic number.

363540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522144).

363540 is an abundant number, since it is smaller than the sum of its proper divisors (680748).

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

363540 is a wasteful number, since it uses less digits than its factorization.

363540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 363540 is about 602.9427833551. The cubic root of 363540 is about 71.3702800616.

It can be divided in two parts, 363 and 540, that added together give a triangular number (903 = T₄₂).

The spelling of 363540 in words is "three hundred sixty-three thousand, five hundred forty".