734688 has 36 divisors (see below), whose sum is σ = 2090088. Its totient is φ = 244800.

The previous prime is 734687. The next prime is 734693. The reversal of 734688 is 886437.

734688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 734688.

It is not an unprimeable number, because it can be changed into a prime (734687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 988 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (58058).

2⁷³⁴⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

734688 is an abundant number, since it is smaller than the sum of its proper divisors (1355400).

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

734688 is a wasteful number, since it uses less digits than its factorization.

734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2556 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 734688 is about 857.1394285646. The cubic root of 734688 is about 90.2334679141.

It can be divided in two parts, 73 and 4688, that added together give a square (4761 = 69²).

The spelling of 734688 in words is "seven hundred thirty-four thousand, six hundred eighty-eight".