862985760 has 384 divisors, whose sum is σ = 3495260160. Its totient is φ = 173961216.

The previous prime is 862985749. The next prime is 862985771. The reversal of 862985760 is 67589268.

It is an interprime number because it is at equal distance from previous prime (862985749) and next prime (862985771).

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, 1004211 + ... + 1005069.

It is an arithmetic number, because the mean of its divisors is an integer number (9102240).

Almost surely, 2^862985760 is an apocalyptic number.

862985760 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 862985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747630080).

862985760 is an abundant number, since it is smaller than the sum of its proper divisors (2632274400).

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

862985760 is a wasteful number, since it uses less digits than its factorization.

862985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 862985760 is about 29376.6192745183. The cubic root of 862985760 is about 952.0677987635.

The spelling of 862985760 in words is "eight hundred sixty-two million, nine hundred eighty-five thousand, seven hundred sixty".