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868423680 = 211355349
BaseRepresentation
bin110011110000110…
…001100000000000
32020112002111100000
4303300301200000
53234304024210
6222101200000
730343323315
oct6360614000
92215074300
10868423680
11406225623
12202a00000
1310abbc087
148349ad0c
1551390ac0
hex33c31800

868423680 has 288 divisors, whose sum is σ = 3130218000. Its totient is φ = 230916096.

The previous prime is 868423669. The next prime is 868423687. The reversal of 868423680 is 86324868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868423687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488146 + ... + 2488494.

Almost surely, 2868423680 is an apocalyptic number.

868423680 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 868423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565109000).

868423680 is an abundant number, since it is smaller than the sum of its proper divisors (2261794320).

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

868423680 is an equidigital number, since it uses as much as digits as its factorization.

868423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 868423680 is about 29469.0291662281. The cubic root of 868423680 is about 954.0633635379.

The spelling of 868423680 in words is "eight hundred sixty-eight million, four hundred twenty-three thousand, six hundred eighty".