690168960 has 288 divisors, whose sum is σ = 2584307700. Its totient is φ = 169648128.

The previous prime is 690168959. The next prime is 690168967. The reversal of 690168960 is 69861096.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 680583744 = 3096^2 + 26088^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (690168967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973086 + ... + 973794.

Almost surely, 2^690168960 is an apocalyptic number.

690168960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292153850).

690168960 is an abundant number, since it is smaller than the sum of its proper divisors (1894138740).

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

690168960 is a wasteful number, since it uses less digits than its factorization.

690168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 690168960 is about 26271.0669749061. The cubic root of 690168960 is about 883.7277131408.

The spelling of 690168960 in words is "six hundred ninety million, one hundred sixty-eight thousand, nine hundred sixty".