383640 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 97152.

The previous prime is 383633. The next prime is 383651. The reversal of 383640 is 46383.

383640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 383640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁸³⁶⁴⁰ is an apocalyptic number.

383640 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 383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

383640 is an abundant number, since it is smaller than the sum of its proper divisors (825960).

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

383640 is a wasteful number, since it uses less digits than its factorization.

383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 383640 is about 619.3867935305. The cubic root of 383640 is about 72.6621026040.

The spelling of 383640 in words is "three hundred eighty-three thousand, six hundred forty".