1002667848 has 256 divisors, whose sum is σ = 3301939200. Its totient is φ = 246343680.

The previous prime is 1002667823. The next prime is 1002667849. The reversal of 1002667848 is 8487662001.

It is a super-2 number, since 2×1002667848² = 2010685626825902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1002667849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3029043 + ... + 3029373.

It is an arithmetic number, because the mean of its divisors is an integer number (12898200).

Almost surely, 2^1002667848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002667848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650969600).

1002667848 is an abundant number, since it is smaller than the sum of its proper divisors (2299271352).

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

1002667848 is a wasteful number, since it uses less digits than its factorization.

1002667848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1002667848 is about 31664.9308857607. The cubic root of 1002667848 is about 1000.8884930130. Note that the first 3 decimals are identical.

The spelling of 1002667848 in words is "one billion, two million, six hundred sixty-seven thousand, eight hundred forty-eight".