1064533600 has 72 divisors (see below), whose sum is σ = 2798727120. Its totient is φ = 393054720.

The previous prime is 1064533579. The next prime is 1064533609. The reversal of 1064533600 is 63354601.

It is a super-2 number, since 2×1064533600² = 2266463571057920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064533609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40780 + ... + 61579.

It is an arithmetic number, because the mean of its divisors is an integer number (38871210).

Almost surely, 2^1064533600 is an apocalyptic number.

1064533600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064533600 is an abundant number, since it is smaller than the sum of its proper divisors (1734193520).

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

1064533600 is a wasteful number, since it uses less digits than its factorization.

1064533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102392 (or 102379 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1064533600 is about 32627.1911141612. The cubic root of 1064533600 is about 1021.0643765628.

The spelling of 1064533600 in words is "one billion, sixty-four million, five hundred thirty-three thousand, six hundred".