690947712 has 320 divisors, whose sum is σ = 2524785600. Its totient is φ = 182227968.

The previous prime is 690947689. The next prime is 690947713. The reversal of 690947712 is 217749096.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 690947712 = 52³ + 884³ = 390³ + 858³.

It is not an unprimeable number, because it can be changed into a prime (690947713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53149818 + ... + 53149830.

It is an arithmetic number, because the mean of its divisors is an integer number (7889955).

Almost surely, 2^690947712 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 690947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262392800).

690947712 is an abundant number, since it is smaller than the sum of its proper divisors (1833837888).

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

690947712 is an frugal number, since it uses more digits than its factorization.

690947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 690947712 is about 26285.8842727423. The cubic root of 690947712 is about 884.0599728631.

The spelling of 690947712 in words is "six hundred ninety million, nine hundred forty-seven thousand, seven hundred twelve".