388968 has 32 divisors (see below), whose sum is σ = 1024800. Its totient is φ = 122688.

The previous prime is 388963. The next prime is 388991. The reversal of 388968 is 869883.

It is a super-2 number, since 2×388968² = 302592210048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (388961) by changing a digit.

388968 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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (32025).

2³⁸⁸⁹⁶⁸ is an apocalyptic number.

388968 is a gapful number since it is divisible by the number (38) 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 388968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512400).

388968 is an abundant number, since it is smaller than the sum of its proper divisors (635832).

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

388968 is a wasteful number, since it uses less digits than its factorization.

388968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 388968 is about 623.6729912382. The cubic root of 388968 is about 72.9969348810.

The spelling of 388968 in words is "three hundred eighty-eight thousand, nine hundred sixty-eight".