8540961 has 32 divisors (see below), whose sum is σ = 13719552. Its totient is φ = 4656960.

The previous prime is 8540941. The next prime is 8540971. The reversal of 8540961 is 1690458.

It is not a de Polignac number, because 8540961 - 2¹⁵ = 8508193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8540921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18216 + ... + 18678.

It is an arithmetic number, because the mean of its divisors is an integer number (428736).

Almost surely, 2^8540961 is an apocalyptic number.

It is an amenable number.

8540961 is a deficient number, since it is larger than the sum of its proper divisors (5178591).

8540961 is a wasteful number, since it uses less digits than its factorization.

8540961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8540961 is about 2922.4922583302. The cubic root of 8540961 is about 204.4100508485.

The spelling of 8540961 in words is "eight million, five hundred forty thousand, nine hundred sixty-one".