68880000 has 320 divisors, whose sum is σ = 267664320. Its totient is φ = 15360000.

The previous prime is 68879999. The next prime is 68880001. The reversal of 68880000 is 8886.

It is an interprime number because it is at equal distance from previous prime (68879999) and next prime (68880001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 68880000.

It is not an unprimeable number, because it can be changed into a prime (68880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679980 + ... + 1680020.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 2^68880000 is an apocalyptic number.

68880000 is a gapful number since it is divisible by the number (60) 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 68880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133832160).

68880000 is an abundant number, since it is smaller than the sum of its proper divisors (198784320).

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

68880000 is an equidigital number, since it uses as much as digits as its factorization.

68880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 68880000 is about 8299.3975684986. The cubic root of 68880000 is about 409.9186830601.

Adding to 68880000 its reverse (8886), we get a palindrome (68888886).

The spelling of 68880000 in words is "sixty-eight million, eight hundred eighty thousand".