861648480 has 576 divisors, whose sum is σ = 3868300800. Its totient is φ = 169205760.

The previous prime is 861648443. The next prime is 861648581. The reversal of 861648480 is 84846168.

861648480 is a `hidden beast` number, since 8 + 6 + 164 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106516 + ... + 2106924.

It is an arithmetic number, because the mean of its divisors is an integer number (6715800).

Almost surely, 2^861648480 is an apocalyptic number.

861648480 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 861648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934150400).

861648480 is an abundant number, since it is smaller than the sum of its proper divisors (3006652320).

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

861648480 is a wasteful number, since it uses less digits than its factorization.

861648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 861648480 is about 29353.8494920172. The cubic root of 861648480 is about 951.5757707792.

The spelling of 861648480 in words is "eight hundred sixty-one million, six hundred forty-eight thousand, four hundred eighty".