1284553080 has 160 divisors (see below), whose sum is σ = 4332042000. Its totient is φ = 341397504.

The previous prime is 1284553063. The next prime is 1284553091. The reversal of 1284553080 is 803554821.

It is a happy number.

1284553080 is a `hidden beast` number, since 1 + 2 + 8 + 45 + 530 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1454319 + ... + 1455201.

Almost surely, 2^1284553080 is an apocalyptic number.

1284553080 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 1284553080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166021000).

1284553080 is an abundant number, since it is smaller than the sum of its proper divisors (3047488920).

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

1284553080 is a wasteful number, since it uses less digits than its factorization.

1284553080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1284553080 is about 35840.6623822719. The cubic root of 1284553080 is about 1087.0529149149.

The spelling of 1284553080 in words is "one billion, two hundred eighty-four million, five hundred fifty-three thousand, eighty".