690259968 has 288 divisors, whose sum is σ = 2206058400. Its totient is φ = 214990848.

The previous prime is 690259967. The next prime is 690259991. The reversal of 690259968 is 869952096.

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

It is a super-2 number, since 2×690259968² = 952917646846722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (690259967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455580 + ... + 9455652.

It is an arithmetic number, because the mean of its divisors is an integer number (7659925).

Almost surely, 2^690259968 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 690259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103029200).

690259968 is an abundant number, since it is smaller than the sum of its proper divisors (1515798432).

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

690259968 is an equidigital number, since it uses as much as digits as its factorization.

690259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 690259968 is about 26272.7990134283. The cubic root of 690259968 is about 883.7665552030.

The spelling of 690259968 in words is "six hundred ninety million, two hundred fifty-nine thousand, nine hundred sixty-eight".