690217984 has 33 divisors (see below), whose sum is σ = 1381444561. Its totient is φ = 344688640.

The previous prime is 690217981. The next prime is 690217991. The reversal of 690217984 is 489712096.

The square root of 690217984 is 26272.

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

It can be written as a sum of positive squares in only one way, i.e., 188457984 + 501760000 = 13728^2 + 22400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (690217981) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 840294 + ... + 841114.

Almost surely, 2^690217984 is an apocalyptic number.

690217984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

690217984 is the 26272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690217984

690217984 is an abundant number, since it is smaller than the sum of its proper divisors (691226577).

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

690217984 is an frugal number, since it uses more digits than its factorization.

690217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 690217984 is about 883.7486369262.

The spelling of 690217984 in words is "six hundred ninety million, two hundred seventeen thousand, nine hundred eighty-four".