1284655680 has 448 divisors, whose sum is σ = 5653186560. Its totient is φ = 266803200.

The previous prime is 1284655667. The next prime is 1284655693. The reversal of 1284655680 is 865564821.

1284655680 is a `hidden beast` number, since 1 + 2 + 84 + 6 + 5 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1284655667) and next prime (1284655693).

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 664315 + ... + 666245.

It is an arithmetic number, because the mean of its divisors is an integer number (12618720).

Almost surely, 2^1284655680 is an apocalyptic number.

1284655680 is a gapful number since it is divisible by the number (10) 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 1284655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826593280).

1284655680 is an abundant number, since it is smaller than the sum of its proper divisors (4368530880).

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

1284655680 is a wasteful number, since it uses less digits than its factorization.

1284655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1284655680 is about 35842.0936888458. The cubic root of 1284655680 is about 1087.0818558909.

The spelling of 1284655680 in words is "one billion, two hundred eighty-four million, six hundred fifty-five thousand, six hundred eighty".