1005217920 has 384 divisors, whose sum is σ = 4021280640. Its totient is φ = 226639872.

The previous prime is 1005217907. The next prime is 1005217931. The reversal of 1005217920 is 297125001.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4314124 + ... + 4314356.

It is an arithmetic number, because the mean of its divisors is an integer number (10472085).

Almost surely, 2^1005217920 is an apocalyptic number.

1005217920 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 1005217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010640320).

1005217920 is an abundant number, since it is smaller than the sum of its proper divisors (3016062720).

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

1005217920 is a wasteful number, since it uses less digits than its factorization.

1005217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1005217920 is about 31705.1718178596. The cubic root of 1005217920 is about 1001.7362902181.

It can be divided in two parts, 10052 and 17920, that added together give a palindrome (27972).

The spelling of 1005217920 in words is "one billion, five million, two hundred seventeen thousand, nine hundred twenty".