864059280 has 320 divisors, whose sum is σ = 3236364288. Its totient is φ = 186531840.

The previous prime is 864059227. The next prime is 864059293. The reversal of 864059280 is 82950468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447584 + ... + 2447936.

Almost surely, 2^864059280 is an apocalyptic number.

864059280 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 864059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618182144).

864059280 is an abundant number, since it is smaller than the sum of its proper divisors (2372305008).

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

864059280 is a wasteful number, since it uses less digits than its factorization.

864059280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 864059280 is about 29394.8852693798. The cubic root of 864059280 is about 952.4624133528.

The spelling of 864059280 in words is "eight hundred sixty-four million, fifty-nine thousand, two hundred eighty".