864478560 has 192 divisors, whose sum is σ = 3145734144. Its totient is φ = 197222400.

The previous prime is 864478553. The next prime is 864478591. The reversal of 864478560 is 65874468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 84945 + ... + 94575.

It is an arithmetic number, because the mean of its divisors is an integer number (16384032).

Almost surely, 2^864478560 is an apocalyptic number.

864478560 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 864478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572867072).

864478560 is an abundant number, since it is smaller than the sum of its proper divisors (2281255584).

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

864478560 is a wasteful number, since it uses less digits than its factorization.

864478560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 864478560 is about 29402.0162573930. The cubic root of 864478560 is about 952.6164474850.

The spelling of 864478560 in words is "eight hundred sixty-four million, four hundred seventy-eight thousand, five hundred sixty".