696964320 has 288 divisors, whose sum is σ = 2646169344. Its totient is φ = 165888000.

The previous prime is 696964297. The next prime is 696964357. The reversal of 696964320 is 23469696.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579720 + ... + 580920.

It is an arithmetic number, because the mean of its divisors is an integer number (9188088).

Almost surely, 2^696964320 is an apocalyptic number.

696964320 is a gapful number since it is divisible by the number (60) 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 696964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323084672).

696964320 is an abundant number, since it is smaller than the sum of its proper divisors (1949205024).

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

696964320 is a wasteful number, since it uses less digits than its factorization.

696964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 696964320 is about 26400.0818180550. The cubic root of 696964320 is about 886.6186216515.

It can be divided in two parts, 6969 and 64320, that added together give a square (71289 = 267²).

The spelling of 696964320 in words is "six hundred ninety-six million, nine hundred sixty-four thousand, three hundred twenty".