1048267008 has 252 divisors, whose sum is σ = 3237199308. Its totient is φ = 338411520.

The previous prime is 1048266997. The next prime is 1048267043. The reversal of 1048267008 is 8007628401.

It can be written as a sum of positive squares in 2 ways, for example, as 283855104 + 764411904 = 16848^2 + 27648^2 .

It is a super-2 number, since 2×1048267008² = 2197727440122544128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7651516 + ... + 7651652.

It is an arithmetic number, because the mean of its divisors is an integer number (12846029).

Almost surely, 2^1048267008 is an apocalyptic number.

1048267008 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 1048267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618599654).

1048267008 is an abundant number, since it is smaller than the sum of its proper divisors (2188932300).

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

1048267008 is an frugal number, since it uses more digits than its factorization.

1048267008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1048267008 is about 32376.9518021694. The cubic root of 1048267008 is about 1015.8368721502.

The spelling of 1048267008 in words is "one billion, forty-eight million, two hundred sixty-seven thousand, eight".