381624 has 16 divisors (see below), whose sum is σ = 954120. Its totient is φ = 127200.

The previous prime is 381607. The next prime is 381629. The reversal of 381624 is 426183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 15901 = 381624 / (3 + 8 + 1 + 6 + 2 + 4).

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

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 381594 and 381603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381629) by changing a digit.

381624 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 3 ways as a sum of consecutive naturals, for example, 7927 + ... + 7974.

2³⁸¹⁶²⁴ is an apocalyptic number.

It is an amenable number.

381624 is an abundant number, since it is smaller than the sum of its proper divisors (572496).

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

381624 is a wasteful number, since it uses less digits than its factorization.

381624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15910 (or 15906 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 381624 is about 617.7572338710. The cubic root of 381624 is about 72.5346010027.

The spelling of 381624 in words is "three hundred eighty-one thousand, six hundred twenty-four".