1064757248 has 72 divisors (see below), whose sum is σ = 2203953570. Its totient is φ = 514252800.

The previous prime is 1064757179. The next prime is 1064757289. The reversal of 1064757248 is 8427574601.

1064757248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 945685504 + 119071744 = 30752^2 + 10912^2 .

It is a super-2 number, since 2×1064757248² = 2267415994337067008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064757199 and 1064757208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1967858 + ... + 1968398.

Almost surely, 2^1064757248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101976785).

1064757248 is an abundant number, since it is smaller than the sum of its proper divisors (1139196322).

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

1064757248 is an frugal number, since it uses more digits than its factorization.

1064757248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 1064757248 is about 32630.6182595427. The cubic root of 1064757248 is about 1021.1358767377.

The spelling of 1064757248 in words is "one billion, sixty-four million, seven hundred fifty-seven thousand, two hundred forty-eight".