8612640 has 72 divisors (see below), whose sum is σ = 29395548. Its totient is φ = 2296320.

The previous prime is 8612633. The next prime is 8612641. The reversal of 8612640 is 462168.

8612640 is a `hidden beast` number, since 8 + 6 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 1192464 = 2724^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8612641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551 + ... + 4430.

Almost surely, 2^8612640 is an apocalyptic number.

8612640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8612640 is an abundant number, since it is smaller than the sum of its proper divisors (20782908).

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

8612640 is a wasteful number, since it uses less digits than its factorization.

8612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8612640 is about 2934.7299705424. The cubic root of 8612640 is about 204.9802876148.

The spelling of 8612640 in words is "eight million, six hundred twelve thousand, six hundred forty".