8270640 has 160 divisors (see below), whose sum is σ = 32616960. Its totient is φ = 1886976.

The previous prime is 8270623. The next prime is 8270671. The reversal of 8270640 is 460728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

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, 14847 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (203856).

Almost surely, 2^8270640 is an apocalyptic number.

8270640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308480).

8270640 is an abundant number, since it is smaller than the sum of its proper divisors (24346320).

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

8270640 is a wasteful number, since it uses less digits than its factorization.

8270640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8270640 is about 2875.8720416597. The cubic root of 8270640 is about 202.2303681638.

The spelling of 8270640 in words is "eight million, two hundred seventy thousand, six hundred forty".