1060012800 has 648 divisors, whose sum is σ = 4744696320. Its totient is φ = 219340800.

The previous prime is 1060012777. The next prime is 1060012819. The reversal of 1060012800 is 82100601.

It is a super-2 number, since 2×1060012800² = 2247254272327680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435081 + ... + 4435319.

Almost surely, 2^1060012800 is an apocalyptic number.

1060012800 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 1060012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372348160).

1060012800 is an abundant number, since it is smaller than the sum of its proper divisors (3684683520).

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

1060012800 is a wasteful number, since it uses less digits than its factorization.

1060012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1060012800 is about 32557.8377660434. The cubic root of 1060012800 is about 1019.6169265076.

It can be divided in two parts, 106001 and 2800, that added together give a palindrome (108801).

The spelling of 1060012800 in words is "one billion, sixty million, twelve thousand, eight hundred".