8261520 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 2125312.

The previous prime is 8261509. The next prime is 8261521. The reversal of 8261520 is 251628.

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

It is a super-3 number, since 3×8261520³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8261521) 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, 6367 + ... + 7553.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^8261520 is an apocalyptic number.

8261520 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 8261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

8261520 is an abundant number, since it is smaller than the sum of its proper divisors (18254640).

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

8261520 is a wasteful number, since it uses less digits than its factorization.

8261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8261520 is about 2874.2859982959. The cubic root of 8261520 is about 202.1560079656.

It can be divided in two parts, 826 and 1520, that added together give a triangular number (2346 = T₆₈).

The spelling of 8261520 in words is "eight million, two hundred sixty-one thousand, five hundred twenty".