685507968 has 128 divisors (see below), whose sum is σ = 2039184000. Its totient is φ = 226699776.

The previous prime is 685507937. The next prime is 685507969. The reversal of 685507968 is 869705586.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685507969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479671 + ... + 481097.

It is an arithmetic number, because the mean of its divisors is an integer number (15931125).

Almost surely, 2^685507968 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 685507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019592000).

685507968 is an abundant number, since it is smaller than the sum of its proper divisors (1353676032).

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

685507968 is a wasteful number, since it uses less digits than its factorization.

685507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 685507968 is about 26182.2070880207. The cubic root of 685507968 is about 881.7338268497.

The spelling of 685507968 in words is "six hundred eighty-five million, five hundred seven thousand, nine hundred sixty-eight".