690777216 has 288 divisors, whose sum is σ = 2217496320. Its totient is φ = 205793280.

The previous prime is 690777209. The next prime is 690777223. The reversal of 690777216 is 612777096.

It is an interprime number because it is at equal distance from previous prime (690777209) and next prime (690777223).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22283121 + ... + 22283151.

It is an arithmetic number, because the mean of its divisors is an integer number (7699640).

Almost surely, 2^690777216 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 690777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108748160).

690777216 is an abundant number, since it is smaller than the sum of its proper divisors (1526719104).

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

690777216 is a wasteful number, since it uses less digits than its factorization.

690777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 690777216 is about 26282.6409631909. The cubic root of 690777216 is about 883.9872509644.

The spelling of 690777216 in words is "six hundred ninety million, seven hundred seventy-seven thousand, two hundred sixteen".