8535540 has 96 divisors (see below), whose sum is σ = 26643456. Its totient is φ = 2027520.

The previous prime is 8535539. The next prime is 8535551. The reversal of 8535540 is 455358.

8535540 = T₁₁₅ + T₁₁₆ + ... + T₃₇₄.

8535540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8535498 and 8535507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24004 + ... + 24356.

It is an arithmetic number, because the mean of its divisors is an integer number (277536).

Almost surely, 2^8535540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321728).

8535540 is an abundant number, since it is smaller than the sum of its proper divisors (18107916).

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

8535540 is a wasteful number, since it uses less digits than its factorization.

8535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 8535540 is about 2921.5646492933. The cubic root of 8535540 is about 204.3667949273.

The spelling of 8535540 in words is "eight million, five hundred thirty-five thousand, five hundred forty".