1064515200 has 576 divisors, whose sum is σ = 4267941120. Its totient is φ = 232243200.

The previous prime is 1064515189. The next prime is 1064515201. The reversal of 1064515200 is 25154601.

It is a super-2 number, since 2×1064515200² = 2266385222062080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1064515201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14582364 + ... + 14582436.

It is an arithmetic number, because the mean of its divisors is an integer number (7409620).

Almost surely, 2^1064515200 is an apocalyptic number.

1064515200 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 1064515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133970560).

1064515200 is an abundant number, since it is smaller than the sum of its proper divisors (3203425920).

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

1064515200 is a wasteful number, since it uses less digits than its factorization.

1064515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1064515200 is about 32626.9091395431. The cubic root of 1064515200 is about 1021.0584936445.

Adding to 1064515200 its reverse (25154601), we get a palindrome (1089669801).

The spelling of 1064515200 in words is "one billion, sixty-four million, five hundred fifteen thousand, two hundred".