8297640 has 160 divisors (see below), whose sum is σ = 30187080. Its totient is φ = 2032128.

The previous prime is 8297633. The next prime is 8297659. The reversal of 8297640 is 467928.

8297640 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 910116 = 2718^2 + 954^2 .

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 = 8297595 and 8297604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42022 + ... + 42218.

Almost surely, 2^8297640 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 8297640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093540).

8297640 is an abundant number, since it is smaller than the sum of its proper divisors (21889440).

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

8297640 is a wasteful number, since it uses less digits than its factorization.

8297640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8297640 is about 2880.5624450791. The cubic root of 8297640 is about 202.4501935120.

The spelling of 8297640 in words is "eight million, two hundred ninety-seven thousand, six hundred forty".