1021870080 has 640 divisors, whose sum is σ = 4567527360. Its totient is φ = 212336640.

The previous prime is 1021870079. The next prime is 1021870093. The reversal of 1021870080 is 800781201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897275 + ... + 92897285.

Almost surely, 2^1021870080 is an apocalyptic number.

1021870080 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 1021870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283763680).

1021870080 is an abundant number, since it is smaller than the sum of its proper divisors (3545657280).

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

1021870080 is an frugal number, since it uses more digits than its factorization.

1021870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1021870080 is about 31966.7026763787. The cubic root of 1021870080 is about 1007.2375186198.

The spelling of 1021870080 in words is "one billion, twenty-one million, eight hundred seventy thousand, eighty".