68538288 has 240 divisors, whose sum is σ = 235270656. Its totient is φ = 16773120.

The previous prime is 68538287. The next prime is 68538289. The reversal of 68538288 is 88283586.

It is an interprime number because it is at equal distance from previous prime (68538287) and next prime (68538289).

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

It is not an unprimeable number, because it can be changed into a prime (68538287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965293 + ... + 965363.

Almost surely, 2^68538288 is an apocalyptic number.

68538288 is a gapful number since it is divisible by the number (68) 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 68538288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117635328).

68538288 is an abundant number, since it is smaller than the sum of its proper divisors (166732368).

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

68538288 is a wasteful number, since it uses less digits than its factorization.

68538288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 68538288 is about 8278.7854181637. The cubic root of 68538288 is about 409.2396934728.

The spelling of 68538288 in words is "sixty-eight million, five hundred thirty-eight thousand, two hundred eighty-eight".