68587872 has 96 divisors (see below), whose sum is σ = 195793920. Its totient is φ = 20943360.

The previous prime is 68587859. The next prime is 68587873. The reversal of 68587872 is 27878586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68587873) 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, 55938 + ... + 57150.

It is an arithmetic number, because the mean of its divisors is an integer number (2039520).

Almost surely, 2^68587872 is an apocalyptic number.

68587872 is a gapful number since it is divisible by the number (62) 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 68587872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97896960).

68587872 is an abundant number, since it is smaller than the sum of its proper divisors (127206048).

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

68587872 is a wasteful number, since it uses less digits than its factorization.

68587872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 68587872 is about 8281.7795189198. The cubic root of 68587872 is about 409.3383577871.

The spelling of 68587872 in words is "sixty-eight million, five hundred eighty-seven thousand, eight hundred seventy-two".