739968 has 64 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 235520.

The previous prime is 739967. The next prime is 739969. The reversal of 739968 is 869937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (739967) and next prime (739969).

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 739968.

It is not an unprimeable number, because it can be changed into a prime (739967) 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, 15721 + ... + 15767.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁷³⁹⁹⁶⁸ 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 739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160).

739968 is an abundant number, since it is smaller than the sum of its proper divisors (1316352).

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

739968 is a wasteful number, since it uses less digits than its factorization.

739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 739968 is about 860.2139268810. The cubic root of 739968 is about 90.4491131565.

The spelling of 739968 in words is "seven hundred thirty-nine thousand, nine hundred sixty-eight".