739648 has 56 divisors (see below), whose sum is σ = 1820672. Its totient is φ = 290304.

The previous prime is 739637. The next prime is 739649. The reversal of 739648 is 846937.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5761 + ... + 5887.

It is an arithmetic number, because the mean of its divisors is an integer number (32512).

2⁷³⁹⁶⁴⁸ 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 739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910336).

739648 is an abundant number, since it is smaller than the sum of its proper divisors (1081024).

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

739648 is a wasteful number, since it uses less digits than its factorization.

739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 739648 is about 860.0279065240. The cubic root of 739648 is about 90.4360730028.

The spelling of 739648 in words is "seven hundred thirty-nine thousand, six hundred forty-eight".