68631264 has 144 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 20173824.

The previous prime is 68631259. The next prime is 68631307. The reversal of 68631264 is 46213686.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85714 + ... + 86510.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^68631264 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 68631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

68631264 is an abundant number, since it is smaller than the sum of its proper divisors (150965568).

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

68631264 is a wasteful number, since it uses less digits than its factorization.

68631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 68631264 is about 8284.3988315387. The cubic root of 68631264 is about 409.4246619937.

The spelling of 68631264 in words is "sixty-eight million, six hundred thirty-one thousand, two hundred sixty-four".