1064558400 has 168 divisors, whose sum is σ = 3521378784. Its totient is φ = 281548800.

The previous prime is 1064558393. The next prime is 1064558401. The reversal of 1064558400 is 48554601.

It is a super-2 number, since 2×1064558400² = 2266569174021120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064558401) 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 23 ways as a sum of consecutive naturals, for example, 627954 + ... + 629646.

It is an arithmetic number, because the mean of its divisors is an integer number (20960588).

Almost surely, 2^1064558400 is an apocalyptic number.

1064558400 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 1064558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760689392).

1064558400 is an abundant number, since it is smaller than the sum of its proper divisors (2456820384).

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

1064558400 is a wasteful number, since it uses less digits than its factorization.

1064558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1064558400 is about 32627.5711630517. The cubic root of 1064558400 is about 1021.0723056064.

The spelling of 1064558400 in words is "one billion, sixty-four million, five hundred fifty-eight thousand, four hundred".