690131680 has 288 divisors, whose sum is σ = 2063244960. Its totient is φ = 216760320.

The previous prime is 690131671. The next prime is 690131681. The reversal of 690131680 is 86131096.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690131681) 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 47 ways as a sum of consecutive naturals, for example, 6107304 + ... + 6107416.

It is an arithmetic number, because the mean of its divisors is an integer number (7164045).

Almost surely, 2^690131680 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 690131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031622480).

690131680 is an abundant number, since it is smaller than the sum of its proper divisors (1373113280).

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

690131680 is a wasteful number, since it uses less digits than its factorization.

690131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 690131680 is about 26270.3574395173. The cubic root of 690131680 is about 883.7118011134.

The spelling of 690131680 in words is "six hundred ninety million, one hundred thirty-one thousand, six hundred eighty".