1005550848 has 180 divisors, whose sum is σ = 3045053088. Its totient is φ = 329978880.

The previous prime is 1005550841. The next prime is 1005550859. The reversal of 1005550848 is 8480555001.

1005550848 is a `hidden beast` number, since 100 + 5 + 5 + 508 + 48 = 666.

It is a super-2 number, since 2×1005550848² = 2022265015827038208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005550841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1471915 + ... + 1472597.

Almost surely, 2^1005550848 is an apocalyptic number.

1005550848 is a gapful number since it is divisible by the number (18) 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 1005550848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522526544).

1005550848 is an abundant number, since it is smaller than the sum of its proper divisors (2039502240).

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

1005550848 is an frugal number, since it uses more digits than its factorization.

1005550848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 1005550848 is about 31710.4217568925. The cubic root of 1005550848 is about 1001.8468696394.

The spelling of 1005550848 in words is "one billion, five million, five hundred fifty thousand, eight hundred forty-eight".