863460320 has 96 divisors (see below), whose sum is σ = 2155507200. Its totient is φ = 325956096.

The previous prime is 863460317. The next prime is 863460337. The reversal of 863460320 is 23064368.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334237 + ... + 1334883.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 2^863460320 is an apocalyptic number.

863460320 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 863460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077753600).

863460320 is an abundant number, since it is smaller than the sum of its proper divisors (1292046880).

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

863460320 is a wasteful number, since it uses less digits than its factorization.

863460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 863460320 is about 29384.6953361780. The cubic root of 863460320 is about 952.2422823308.

The spelling of 863460320 in words is "eight hundred sixty-three million, four hundred sixty thousand, three hundred twenty".