1278572064 has 192 divisors, whose sum is σ = 4206504960. Its totient is φ = 330347520.

The previous prime is 1278572051. The next prime is 1278572069. The reversal of 1278572064 is 4602758721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1278572069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1988127 + ... + 1988769.

It is an arithmetic number, because the mean of its divisors is an integer number (21908880).

Almost surely, 2^1278572064 is an apocalyptic number.

1278572064 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 1278572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103252480).

1278572064 is an abundant number, since it is smaller than the sum of its proper divisors (2927932896).

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

1278572064 is a wasteful number, since it uses less digits than its factorization.

1278572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 1278572064 is about 35757.1260590110. The cubic root of 1278572064 is about 1085.3631448821.

It can be divided in two parts, 127857 and 2064, that added together give a palindrome (129921).

The spelling of 1278572064 in words is "one billion, two hundred seventy-eight million, five hundred seventy-two thousand, sixty-four".