709632 has 132 divisors (see below), whose sum is σ = 2554656. Its totient is φ = 184320.

The previous prime is 709609. The next prime is 709649. The reversal of 709632 is 236907.

It is a tau number, because it is divible by the number of its divisors (132).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 709596 and 709605.

It is a congruent number.

It is an unprimeable number.

709632 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 11 ways as a sum of consecutive naturals, for example, 64507 + ... + 64517.

2⁷⁰⁹⁶³² is an apocalyptic number.

709632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277328).

709632 is an abundant number, since it is smaller than the sum of its proper divisors (1845024).

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

709632 is a wasteful number, since it uses less digits than its factorization.

709632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 709632 is about 842.3965811896. The cubic root of 709632 is about 89.1957983636.

The spelling of 709632 in words is "seven hundred nine thousand, six hundred thirty-two".