68787264 has 224 divisors, whose sum is σ = 233046016. Its totient is φ = 17418240.

The previous prime is 68787263. The next prime is 68787283. The reversal of 68787264 is 46278786.

It is a tau number, because it is divible by the number of its divisors (224).

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 (68787263) 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, 541569 + ... + 541695.

It is an arithmetic number, because the mean of its divisors is an integer number (1040384).

Almost surely, 2^68787264 is an apocalyptic number.

68787264 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 68787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116523008).

68787264 is an abundant number, since it is smaller than the sum of its proper divisors (164258752).

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

68787264 is a wasteful number, since it uses less digits than its factorization.

68787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 68787264 is about 8293.8087752250. The cubic root of 68787264 is about 409.7346369326.

The spelling of 68787264 in words is "sixty-eight million, seven hundred eighty-seven thousand, two hundred sixty-four".