1064983920 has 720 divisors, whose sum is σ = 4635703296. Its totient is φ = 197683200.

The previous prime is 1064983901. The next prime is 1064983957. The reversal of 1064983920 is 293894601.

It is a super-2 number, since 2×1064983920² = 2268381499717132800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34354305 + ... + 34354335.

Almost surely, 2^1064983920 is an apocalyptic number.

1064983920 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 1064983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317851648).

1064983920 is an abundant number, since it is smaller than the sum of its proper divisors (3570719376).

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

1064983920 is a wasteful number, since it uses less digits than its factorization.

1064983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1064983920 is about 32634.0913769634. The cubic root of 1064983920 is about 1021.2083334686.

The spelling of 1064983920 in words is "one billion, sixty-four million, nine hundred eighty-three thousand, nine hundred twenty".