719664 has 80 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 206080.

The previous prime is 719659. The next prime is 719671. The reversal of 719664 is 466917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

719664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15289 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁷¹⁹⁶⁶⁴ 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 719664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

719664 is an abundant number, since it is smaller than the sum of its proper divisors (1423056).

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

719664 is a wasteful number, since it uses less digits than its factorization.

719664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 719664 is about 848.3301244209. The cubic root of 719664 is about 89.6141506137.

It can be divided in two parts, 7196 and 64, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 719664 in words is "seven hundred nineteen thousand, six hundred sixty-four".