849147264 has 240 divisors, whose sum is σ = 2859877020. Its totient is φ = 241823232.

The previous prime is 849147253. The next prime is 849147283. The reversal of 849147264 is 462741948.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2765799 + ... + 2766105.

Almost surely, 2^849147264 is an apocalyptic number.

849147264 is a gapful number since it is divisible by the number (84) 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 849147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429938510).

849147264 is an abundant number, since it is smaller than the sum of its proper divisors (2010729756).

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

849147264 is an equidigital number, since it uses as much as digits as its factorization.

849147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 849147264 is about 29140.1315027918. The cubic root of 849147264 is about 946.9513587540.

It can be divided in two parts, 8491 and 47264, that added together give a palindrome (55755).

The spelling of 849147264 in words is "eight hundred forty-nine million, one hundred forty-seven thousand, two hundred sixty-four".