1064015200 has 72 divisors (see below), whose sum is σ = 2734278120. Its totient is φ = 403200000.

The previous prime is 1064015189. The next prime is 1064015233. The reversal of 1064015200 is 25104601.

It is a super-2 number, since 2×1064015200² = 2264256691662080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19801 + ... + 50200.

It is an arithmetic number, because the mean of its divisors is an integer number (37976085).

Almost surely, 2^1064015200 is an apocalyptic number.

1064015200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064015200 is an abundant number, since it is smaller than the sum of its proper divisors (1670262920).

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

1064015200 is a wasteful number, since it uses less digits than its factorization.

1064015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70040 (or 70027 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1064015200 is about 32619.2458527171. The cubic root of 1064015200 is about 1020.8986057759.

Adding to 1064015200 its reverse (25104601), we get a palindrome (1089119801).

The spelling of 1064015200 in words is "one billion, sixty-four million, fifteen thousand, two hundred".