68686464 has 256 divisors, whose sum is σ = 239708160. Its totient is φ = 16896000.

The previous prime is 68686451. The next prime is 68686469. The reversal of 68686464 is 46468686.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68686469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680014 + ... + 680114.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 2^68686464 is an apocalyptic number.

68686464 is a gapful number since it is divisible by the number (64) 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 68686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

68686464 is an abundant number, since it is smaller than the sum of its proper divisors (171021696).

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

68686464 is a wasteful number, since it uses less digits than its factorization.

68686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 68686464 is about 8287.7297253229. The cubic root of 68686464 is about 409.5343990806.

The spelling of 68686464 in words is "sixty-eight million, six hundred eighty-six thousand, four hundred sixty-four".