746640 has 120 divisors (see below), whose sum is σ = 2698488. Its totient is φ = 184320.

The previous prime is 746597. The next prime is 746653. The reversal of 746640 is 46647.

746640 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 725904 = 144^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

746640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12210 + ... + 12270.

2⁷⁴⁶⁶⁴⁰ 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 746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349244).

746640 is an abundant number, since it is smaller than the sum of its proper divisors (1951848).

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

746640 is a wasteful number, since it uses less digits than its factorization.

746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 746640 is about 864.0833293149. The cubic root of 746640 is about 90.7201481852.

The spelling of 746640 in words is "seven hundred forty-six thousand, six hundred forty".