1283796864 has 480 divisors, whose sum is σ = 4702302000. Its totient is φ = 347493888.

The previous prime is 1283796827. The next prime is 1283796887. The reversal of 1283796864 is 4686973821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1283796864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67568247 + ... + 67568265.

Almost surely, 2^1283796864 is an apocalyptic number.

1283796864 is a gapful number since it is divisible by the number (14) 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 1283796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351151000).

1283796864 is an abundant number, since it is smaller than the sum of its proper divisors (3418505136).

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

1283796864 is an frugal number, since it uses more digits than its factorization.

1283796864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1283796864 is about 35830.1111357473. Note that the first 4 decimals coincide. The cubic root of 1283796864 is about 1086.8395571368.

The spelling of 1283796864 in words is "one billion, two hundred eighty-three million, seven hundred ninety-six thousand, eight hundred sixty-four".