1064601200 has 120 divisors (see below), whose sum is σ = 2916719568. Its totient is φ = 369930240.

The previous prime is 1064601191. The next prime is 1064601311. The reversal of 1064601200 is 21064601.

It is a happy number.

It is a super-2 number, since 2×1064601200² = 2266751430082880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82379 + ... + 94421.

Almost surely, 2^1064601200 is an apocalyptic number.

1064601200 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 1064601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458359784).

1064601200 is an abundant number, since it is smaller than the sum of its proper divisors (1852118368).

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

1064601200 is a wasteful number, since it uses less digits than its factorization.

1064601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1064601200 is about 32628.2270434665. The cubic root of 1064601200 is about 1021.0859893113.

Adding to 1064601200 its reverse (21064601), we get a palindrome (1085665801).

The spelling of 1064601200 in words is "one billion, sixty-four million, six hundred one thousand, two hundred".