366624 has 72 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 114048.

The previous prime is 366607. The next prime is 366631. The reversal of 366624 is 426663.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

366624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5439 + ... + 5505.

It is an arithmetic number, because the mean of its divisors is an integer number (15470).

2³⁶⁶⁶²⁴ 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 366624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

366624 is an abundant number, since it is smaller than the sum of its proper divisors (747216).

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

366624 is a wasteful number, since it uses less digits than its factorization.

366624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 366624 is about 605.4948389541. The cubic root of 366624 is about 71.5715293108.

It can be divided in two parts, 366 and 624, that added together give a triangular number (990 = T₄₄).

The spelling of 366624 in words is "three hundred sixty-six thousand, six hundred twenty-four".