1064509536 has 192 divisors, whose sum is σ = 3099176640. Its totient is φ = 319610880.

The previous prime is 1064509517. The next prime is 1064509613. The reversal of 1064509536 is 6359054601.

It is a super-2 number, since 2×1064509536² = 2266361104469870592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064509494 and 1064509503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17450946 + ... + 17451006.

It is an arithmetic number, because the mean of its divisors is an integer number (16141545).

Almost surely, 2^1064509536 is an apocalyptic number.

1064509536 is a gapful number since it is divisible by the number (16) 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 1064509536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549588320).

1064509536 is an abundant number, since it is smaller than the sum of its proper divisors (2034667104).

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

1064509536 is an equidigital number, since it uses as much as digits as its factorization.

1064509536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1064509536 is about 32626.8223399092. The cubic root of 1064509536 is about 1021.0566827151.

The spelling of 1064509536 in words is "one billion, sixty-four million, five hundred nine thousand, five hundred thirty-six".