738688 has 32 divisors (see below), whose sum is σ = 1530000. Its totient is φ = 354816.

The previous prime is 738677. The next prime is 738707. The reversal of 738688 is 886837.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×738688² = 1091319922688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 738688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3613 + ... + 3811.

2⁷³⁸⁶⁸⁸ 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 738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765000).

738688 is an abundant number, since it is smaller than the sum of its proper divisors (791312).

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

738688 is a wasteful number, since it uses less digits than its factorization.

738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 738688 is about 859.4696038837. The cubic root of 738688 is about 90.3969299607.

The spelling of 738688 in words is "seven hundred thirty-eight thousand, six hundred eighty-eight".