8962560 has 120 divisors (see below), whose sum is σ = 31119660. Its totient is φ = 2383872.

The previous prime is 8962531. The next prime is 8962561. The reversal of 8962560 is 652698.

8962560 is a `hidden beast` number, since 8 + 96 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 389376 = 2928^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8962561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22846 + ... + 23234.

Almost surely, 2^8962560 is an apocalyptic number.

8962560 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 8962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559830).

8962560 is an abundant number, since it is smaller than the sum of its proper divisors (22157100).

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

8962560 is a wasteful number, since it uses less digits than its factorization.

8962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8962560 is about 2993.7534968664. The cubic root of 8962560 is about 207.7195431204.

The spelling of 8962560 in words is "eight million, nine hundred sixty-two thousand, five hundred sixty".