1005572880 has 480 divisors, whose sum is σ = 3958246656. Its totient is φ = 235395072.

The previous prime is 1005572837. The next prime is 1005572881. The reversal of 1005572880 is 882755001.

1005572880 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 572 + 8 + 80 = 666.

It is a super-2 number, since 2×1005572880² = 2022353633982988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1005572881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812474 + ... + 5812646.

Almost surely, 2^1005572880 is an apocalyptic number.

1005572880 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 1005572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979123328).

1005572880 is an abundant number, since it is smaller than the sum of its proper divisors (2952673776).

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

1005572880 is a wasteful number, since it uses less digits than its factorization.

1005572880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1005572880 is about 31710.7691486662. The cubic root of 1005572880 is about 1001.8541865341.

The spelling of 1005572880 in words is "one billion, five million, five hundred seventy-two thousand, eight hundred eighty".