696672 has 72 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 222720.

The previous prime is 696659. The next prime is 696679. The reversal of 696672 is 276696.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (696679) by changing a digit.

696672 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11779 + ... + 11837.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁶⁹⁶⁶⁷² 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 696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

696672 is an abundant number, since it is smaller than the sum of its proper divisors (1367208).

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

696672 is a wasteful number, since it uses less digits than its factorization.

696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 696672 is about 834.6687965894. The cubic root of 696672 is about 88.6494649452.

The spelling of 696672 in words is "six hundred ninety-six thousand, six hundred seventy-two".