1284291072 has 160 divisors (see below), whose sum is σ = 3866448960. Its totient is φ = 420802560.

The previous prime is 1284291059. The next prime is 1284291077. The reversal of 1284291072 is 2701924821.

1284291072 is a `hidden beast` number, since 128 + 429 + 107 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1284291077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842503 + ... + 844025.

It is an arithmetic number, because the mean of its divisors is an integer number (24165306).

Almost surely, 2^1284291072 is an apocalyptic number.

1284291072 is a gapful number since it is divisible by the number (12) 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 1284291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933224480).

1284291072 is an abundant number, since it is smaller than the sum of its proper divisors (2582157888).

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

1284291072 is an equidigital number, since it uses as much as digits as its factorization.

1284291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1284291072 is about 35837.0070178859. The cubic root of 1284291072 is about 1086.9790018081.

The spelling of 1284291072 in words is "one billion, two hundred eighty-four million, two hundred ninety-one thousand, seventy-two".