68964480 has 256 divisors, whose sum is σ = 263894400. Its totient is φ = 16920576.

The previous prime is 68964479. The next prime is 68964481. The reversal of 68964480 is 8446986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68964479) and next prime (68964481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68964481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224487 + ... + 224793.

Almost surely, 2^68964480 is an apocalyptic number.

68964480 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 68964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

68964480 is an abundant number, since it is smaller than the sum of its proper divisors (194929920).

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

68964480 is a wasteful number, since it uses less digits than its factorization.

68964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68964480 is about 8304.4855349383. The cubic root of 68964480 is about 410.0862003963.

The spelling of 68964480 in words is "sixty-eight million, nine hundred sixty-four thousand, four hundred eighty".