1060701200 has 180 divisors, whose sum is σ = 2839466700. Its totient is φ = 378501120.

The previous prime is 1060701181. The next prime is 1060701209. The reversal of 1060701200 is 21070601.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 635846656 + 424854544 = 25216^2 + 20612^2 .

It is a super-2 number, since 2×1060701200² = 2250174071362880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1060701209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7118726 + ... + 7118874.

It is an arithmetic number, because the mean of its divisors is an integer number (15774815).

Almost surely, 2^1060701200 is an apocalyptic number.

1060701200 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 1060701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419733350).

1060701200 is an abundant number, since it is smaller than the sum of its proper divisors (1778765500).

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

1060701200 is a wasteful number, since it uses less digits than its factorization.

1060701200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1060701200 is about 32568.4080053048. The cubic root of 1060701200 is about 1019.8376006989.

Adding to 1060701200 its reverse (21070601), we get a palindrome (1081771801).

The spelling of 1060701200 in words is "one billion, sixty million, seven hundred one thousand, two hundred".