8307640 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2970240.

The previous prime is 8307631. The next prime is 8307641. The reversal of 8307640 is 467038.

It is a junction number, because it is equal to n+sod(n) for n = 8307599 and 8307608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8307641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34641 + ... + 34879.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^8307640 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 8307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

8307640 is an abundant number, since it is smaller than the sum of its proper divisors (12428360).

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

8307640 is a wasteful number, since it uses less digits than its factorization.

8307640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 8307640 is about 2882.2976945486. The cubic root of 8307640 is about 202.5314892859.

The spelling of 8307640 in words is "eight million, three hundred seven thousand, six hundred forty".