863478960 has 160 divisors (see below), whose sum is σ = 2926098432. Its totient is φ = 209694720.

The previous prime is 863478947. The next prime is 863479007. The reversal of 863478960 is 69874368.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123067 + ... + 129893.

Almost surely, 2^863478960 is an apocalyptic number.

863478960 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 863478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463049216).

863478960 is an abundant number, since it is smaller than the sum of its proper divisors (2062619472).

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

863478960 is a wasteful number, since it uses less digits than its factorization.

863478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 863478960 is about 29385.0125063781. The cubic root of 863478960 is about 952.2491344767.

The spelling of 863478960 in words is "eight hundred sixty-three million, four hundred seventy-eight thousand, nine hundred sixty".