1010816000 has 176 divisors, whose sum is σ = 2586589200. Its totient is φ = 394035200.

The previous prime is 1010815999. The next prime is 1010816047. The reversal of 1010816000 is 6180101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 428655616 + 582160384 = 20704^2 + 24128^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1010816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6783926 + ... + 6784074.

Almost surely, 2^1010816000 is an apocalyptic number.

1010816000 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 1010816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293294600).

1010816000 is an abundant number, since it is smaller than the sum of its proper divisors (1575773200).

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

1010816000 is an equidigital number, since it uses as much as digits as its factorization.

1010816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1010816000 is about 31793.3326343748. The cubic root of 1010816000 is about 1003.5924124522.

Adding to 1010816000 its reverse (6180101), we get a palindrome (1016996101).

It can be divided in two parts, 10 and 10816000, that multiplied together give a square (108160000 = 10400²).

The spelling of 1010816000 in words is "one billion, ten million, eight hundred sixteen thousand".