1064389248 has 320 divisors, whose sum is σ = 3498957000. Its totient is φ = 319168512.

The previous prime is 1064389229. The next prime is 1064389259. The reversal of 1064389248 is 8429834601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 631416384 + 432972864 = 25128^2 + 20808^2 .

It is a super-2 number, since 2×1064389248² = 2265848942516011008, which contains 22 as substring.

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, 7143478 + ... + 7143626.

Almost surely, 2^1064389248 is an apocalyptic number.

1064389248 is a gapful number since it is divisible by the number (18) 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 1064389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749478500).

1064389248 is an abundant number, since it is smaller than the sum of its proper divisors (2434567752).

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

1064389248 is a wasteful number, since it uses less digits than its factorization.

1064389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1064389248 is about 32624.9788965449. The cubic root of 1064389248 is about 1021.0182219691.

The spelling of 1064389248 in words is "one billion, sixty-four million, three hundred eighty-nine thousand, two hundred forty-eight".