1061012800 has 84 divisors (see below), whose sum is σ = 2617191616. Its totient is φ = 423360000.

The previous prime is 1061012791. The next prime is 1061012819. The reversal of 1061012800 is 82101601.

It is a super-2 number, since 2×1061012800² = 2251496323527680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201159 + ... + 1202041.

Almost surely, 2^1061012800 is an apocalyptic number.

1061012800 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 1061012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308595808).

1061012800 is an abundant number, since it is smaller than the sum of its proper divisors (1556178816).

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

1061012800 is an equidigital number, since it uses as much as digits as its factorization.

1061012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1061012800 is about 32573.1914309912. The cubic root of 1061012800 is about 1019.9374561163.

The spelling of 1061012800 in words is "one billion, sixty-one million, twelve thousand, eight hundred".