68827584 has 112 divisors (see below), whose sum is σ = 210970368. Its totient is φ = 19396608.

The previous prime is 68827573. The next prime is 68827589. The reversal of 68827584 is 48572886.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×68827584³ (a number of 24 digits) contains 333 as substring.

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 (68827589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111244 + ... + 111860.

It is an arithmetic number, because the mean of its divisors is an integer number (1883664).

Almost surely, 2^68827584 is an apocalyptic number.

68827584 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 68827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105485184).

68827584 is an abundant number, since it is smaller than the sum of its proper divisors (142142784).

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

68827584 is a wasteful number, since it uses less digits than its factorization.

68827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 68827584 is about 8296.2391479513. The cubic root of 68827584 is about 409.8146773005.

The spelling of 68827584 in words is "sixty-eight million, eight hundred twenty-seven thousand, five hundred eighty-four".