968697000 has 192 divisors, whose sum is σ = 3363843600. Its totient is φ = 251251200.

The previous prime is 968696983. The next prime is 968697029. The reversal of 968697000 is 796869.

968697000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 321198084 + 647498916 = 17922^2 + 25446^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331546 + ... + 334454.

Almost surely, 2^968697000 is an apocalyptic number.

968697000 is a gapful number since it is divisible by the number (90) 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 968697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681921800).

968697000 is an abundant number, since it is smaller than the sum of its proper divisors (2395146600).

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

968697000 is a wasteful number, since it uses less digits than its factorization.

968697000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 968697000 is about 31123.8975708378. The cubic root of 968697000 is about 989.4548575099.

The spelling of 968697000 in words is "nine hundred sixty-eight million, six hundred ninety-seven thousand".