9864540 has 72 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 2254464.

The previous prime is 9864529. The next prime is 9864581. The reversal of 9864540 is 454689.

9864540 is a `hidden beast` number, since 9 + 8 + 645 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9864495 and 9864504.

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, 2655 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 2^9864540 is an apocalyptic number.

9864540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9864540 is an abundant number, since it is smaller than the sum of its proper divisors (24336900).

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

9864540 is a wasteful number, since it uses less digits than its factorization.

9864540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9864540 is about 3140.7865256970. The cubic root of 9864540 is about 214.4662440564.

It can be divided in two parts, 9864 and 540, that added together give a square (10404 = 102²).

The spelling of 9864540 in words is "nine million, eight hundred sixty-four thousand, five hundred forty".