1064983248 has 120 divisors (see below), whose sum is σ = 3556052160. Its totient is φ = 304274880.

The previous prime is 1064983243. The next prime is 1064983261. The reversal of 1064983248 is 8423894601.

It is a happy number.

It is a super-2 number, since 2×1064983248² = 2268378637041259008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064983243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3988 + ... + 46323.

It is an arithmetic number, because the mean of its divisors is an integer number (29633768).

Almost surely, 2^1064983248 is an apocalyptic number.

1064983248 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 1064983248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778026080).

1064983248 is an abundant number, since it is smaller than the sum of its proper divisors (2491068912).

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

1064983248 is a wasteful number, since it uses less digits than its factorization.

1064983248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50342 (or 50323 counting only the distinct ones).

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

The square root of 1064983248 is about 32634.0810809804. The cubic root of 1064983248 is about 1021.2081186760.

It can be divided in two parts, 106498 and 3248, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1064983248 in words is "one billion, sixty-four million, nine hundred eighty-three thousand, two hundred forty-eight".