849520 has 80 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 276480.

The previous prime is 849481. The next prime is 849523. The reversal of 849520 is 25948.

849520 = T₆₄ + T₆₅ + ... + T₁₇₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849523) by changing a digit.

849520 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 20700 + ... + 20740.

2⁸⁴⁹⁵²⁰ is an apocalyptic number.

849520 is a gapful number since it is divisible by the number (80) 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 849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

849520 is an abundant number, since it is smaller than the sum of its proper divisors (1525328).

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

849520 is a wasteful number, since it uses less digits than its factorization.

849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 849520 is about 921.6940924190. The cubic root of 849520 is about 94.7089894296.

It can be divided in two parts, 8495 and 20, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 849520 in words is "eight hundred forty-nine thousand, five hundred twenty".