1008722820 has 144 divisors (see below), whose sum is σ = 3299583168. Its totient is φ = 229582080.

The previous prime is 1008722809. The next prime is 1008722839. The reversal of 1008722820 is 282278001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860835 + ... + 862005.

It is an arithmetic number, because the mean of its divisors is an integer number (22913772).

Almost surely, 2^1008722820 is an apocalyptic number.

1008722820 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 1008722820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649791584).

1008722820 is an abundant number, since it is smaller than the sum of its proper divisors (2290860348).

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

1008722820 is a wasteful number, since it uses less digits than its factorization.

1008722820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1008722820 is about 31760.3970378205. The cubic root of 1008722820 is about 1002.8991932224.

The spelling of 1008722820 in words is "one billion, eight million, seven hundred twenty-two thousand, eight hundred twenty".