868942080 has 540 divisors, whose sum is σ = 3416781060. Its totient is φ = 210567168.

The previous prime is 868942043. The next prime is 868942111. The reversal of 868942080 is 80249868.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47775744 + 821166336 = 6912^2 + 28656^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29963506 + ... + 29963534.

Almost surely, 2^868942080 is an apocalyptic number.

868942080 is a gapful number since it is divisible by the number (80) 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 868942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708390530).

868942080 is an abundant number, since it is smaller than the sum of its proper divisors (2547838980).

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

868942080 is a wasteful number, since it uses less digits than its factorization.

868942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 868942080 is about 29477.8235288835. The cubic root of 868942080 is about 954.2531664641.

The spelling of 868942080 in words is "eight hundred sixty-eight million, nine hundred forty-two thousand, eighty".