385632 has 72 divisors (see below), whose sum is σ = 1192464. Its totient is φ = 117504.

The previous prime is 385631. The next prime is 385639. The reversal of 385632 is 236583.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 385596 and 385605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3693 + ... + 3795.

It is an arithmetic number, because the mean of its divisors is an integer number (16562).

2³⁸⁵⁶³² is an apocalyptic number.

385632 is a gapful number since it is divisible by the number (32) 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 385632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596232).

385632 is an abundant number, since it is smaller than the sum of its proper divisors (806832).

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

385632 is a wasteful number, since it uses less digits than its factorization.

385632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 385632 is about 620.9927535809. The cubic root of 385632 is about 72.7876483493.

The spelling of 385632 in words is "three hundred eighty-five thousand, six hundred thirty-two".