696960000 has 495 divisors, whose sum is σ = 2764164403. Its totient is φ = 168960000.

The previous prime is 696959959. The next prime is 696960013. The reversal of 696960000 is 69696.

The square root of 696960000 is 26400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 642318336 = 7392^2 + 25344^2 .

It is a tau number, because it is divible by the number of its divisors (495).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63359995 + ... + 63360005.

Almost surely, 2^696960000 is an apocalyptic number.

696960000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

696960000 is the 26400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696960000

696960000 is an abundant number, since it is smaller than the sum of its proper divisors (2067204403).

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

696960000 is a wasteful number, since it uses less digits than its factorization.

696960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The cubic root of 696960000 is about 886.6167898025.

Multiplying 696960000 by its sum of digits (36), we get a square (25090560000 = 158400²).

696960000 divided by its sum of digits (36) gives a square (19360000 = 4400²).

Multiplying 696960000 by its reverse (69696), we get a 4-th power (48575324160000 = 2640⁴).

696960000 divided by its reverse (69696) gives a 4-th power (10000 = 10⁴).

The spelling of 696960000 in words is "six hundred ninety-six million, nine hundred sixty thousand".