68964672 has 168 divisors, whose sum is σ = 220244416. Its totient is φ = 18653184.

The previous prime is 68964671. The next prime is 68964673. The reversal of 68964672 is 27646986.

It is an interprime number because it is at equal distance from previous prime (68964671) and next prime (68964673).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×68964672² = 9512251968135168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68964671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710928 + ... + 711024.

Almost surely, 2^68964672 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 68964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110122208).

68964672 is an abundant number, since it is smaller than the sum of its proper divisors (151279744).

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

68964672 is a wasteful number, since it uses less digits than its factorization.

68964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 68964672 is about 8304.4970949480. The cubic root of 68964672 is about 410.0865809616.

The spelling of 68964672 in words is "sixty-eight million, nine hundred sixty-four thousand, six hundred seventy-two".