68964000 has 192 divisors, whose sum is σ = 258515712. Its totient is φ = 15744000.

The previous prime is 68963989. The next prime is 68964011. The reversal of 68964000 is 46986.

It is an interprime number because it is at equal distance from previous prime (68963989) and next prime (68964011).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83590 + ... + 84410.

It is an arithmetic number, because the mean of its divisors is an integer number (1346436).

Almost surely, 2^68964000 is an apocalyptic number.

68964000 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 68964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129257856).

68964000 is an abundant number, since it is smaller than the sum of its proper divisors (189551712).

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

68964000 is a wasteful number, since it uses less digits than its factorization.

68964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 68964000 is about 8304.4566348437. The cubic root of 68964000 is about 410.0852489798.

The spelling of 68964000 in words is "sixty-eight million, nine hundred sixty-four thousand".