849890496 has 168 divisors, whose sum is σ = 2817418800. Its totient is φ = 224114688.

The previous prime is 849890479. The next prime is 849890507. The reversal of 849890496 is 694098948.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×849890496² = 1444627710382252032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118830 + ... + 125778.

It is an arithmetic number, because the mean of its divisors is an integer number (16770350).

Almost surely, 2^849890496 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 849890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408709400).

849890496 is an abundant number, since it is smaller than the sum of its proper divisors (1967528304).

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

849890496 is a wasteful number, since it uses less digits than its factorization.

849890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 849890496 is about 29152.8814356317. The cubic root of 849890496 is about 947.2275571405.

The spelling of 849890496 in words is "eight hundred forty-nine million, eight hundred ninety thousand, four hundred ninety-six".