1010826880 has 96 divisors (see below), whose sum is σ = 2811127140. Its totient is φ = 346558464.

The previous prime is 1010826857. The next prime is 1010826907. The reversal of 1010826880 is 886280101.

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 2637376 = 31752^2 + 1624^2 .

It is a zygodrome in base 4.

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, 15244 + ... + 47476.

Almost surely, 2^1010826880 is an apocalyptic number.

1010826880 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 1010826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405563570).

1010826880 is an abundant number, since it is smaller than the sum of its proper divisors (1800300260).

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

1010826880 is an equidigital number, since it uses as much as digits as its factorization.

1010826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32266 (or 32247 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1010826880 is about 31793.5037389716. The cubic root of 1010826880 is about 1003.5960131888.

The spelling of 1010826880 in words is "one billion, ten million, eight hundred twenty-six thousand, eight hundred eighty".