1006849000 has 64 divisors (see below), whose sum is σ = 2432102400. Its totient is φ = 389736000.

The previous prime is 1006848991. The next prime is 1006849009. The reversal of 1006849000 is 9486001.

It is an interprime number because it is at equal distance from previous prime (1006848991) and next prime (1006849009).

It is a self number, because there is not a number n which added to its sum of digits gives 1006849000.

It is not an unprimeable number, because it can be changed into a prime (1006849009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14761 + ... + 47239.

It is an arithmetic number, because the mean of its divisors is an integer number (38001600).

Almost surely, 2^1006849000 is an apocalyptic number.

1006849000 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 1006849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216051200).

1006849000 is an abundant number, since it is smaller than the sum of its proper divisors (1425253400).

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

1006849000 is a wasteful number, since it uses less digits than its factorization.

1006849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32531 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1006849000 is about 31730.8840091164. The cubic root of 1006849000 is about 1002.2778076529.

The spelling of 1006849000 in words is "one billion, six million, eight hundred forty-nine thousand".