759648 has 48 divisors (see below), whose sum is σ = 2053296. Its totient is φ = 245760.

The previous prime is 759641. The next prime is 759653. The reversal of 759648 is 846957.

759648 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 (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (759641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840 + ... + 4032.

It is an arithmetic number, because the mean of its divisors is an integer number (42777).

2⁷⁵⁹⁶⁴⁸ 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 759648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026648).

759648 is an abundant number, since it is smaller than the sum of its proper divisors (1293648).

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

759648 is a wasteful number, since it uses less digits than its factorization.

759648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 759648 is about 871.5778794807. The cubic root of 759648 is about 91.2439615695.

The spelling of 759648 in words is "seven hundred fifty-nine thousand, six hundred forty-eight".