1284068016 has 120 divisors (see below), whose sum is σ = 4480379904. Its totient is φ = 333521280.

The previous prime is 1284067951. The next prime is 1284068033. The reversal of 1284068016 is 6108604821.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46816 + ... + 68991.

Almost surely, 2^1284068016 is an apocalyptic number.

1284068016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1284068016 is an abundant number, since it is smaller than the sum of its proper divisors (3196311888).

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

1284068016 is a wasteful number, since it uses less digits than its factorization.

1284068016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115839 (or 115830 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1284068016 is about 35833.8947925006. The cubic root of 1284068016 is about 1086.9160692347.

The spelling of 1284068016 in words is "one billion, two hundred eighty-four million, sixty-eight thousand, sixteen".