1282910720 has 160 divisors (see below), whose sum is σ = 3786507648. Its totient is φ = 405946368.

The previous prime is 1282910677. The next prime is 1282910753. The reversal of 1282910720 is 270192821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230207 + ... + 235713.

Almost surely, 2^1282910720 is an apocalyptic number.

1282910720 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 1282910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893253824).

1282910720 is an abundant number, since it is smaller than the sum of its proper divisors (2503596928).

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

1282910720 is an equidigital number, since it uses as much as digits as its factorization.

1282910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 1282910720 is about 35817.7430891451. The cubic root of 1282910720 is about 1086.5894350036.

The spelling of 1282910720 in words is "one billion, two hundred eighty-two million, nine hundred ten thousand, seven hundred twenty".