8295840 has 144 divisors (see below), whose sum is σ = 32393088. Its totient is φ = 1893888.

The previous prime is 8295839. The next prime is 8295841. The reversal of 8295840 is 485928.

8295840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8295839) and next prime (8295841).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8295840² = 137641922611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

8295840 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 8295795 and 8295804.

It is not an unprimeable number, because it can be changed into a prime (8295841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9669 + ... + 10491.

It is an arithmetic number, because the mean of its divisors is an integer number (224952).

Almost surely, 2^8295840 is an apocalyptic number.

8295840 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 8295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196544).

8295840 is an abundant number, since it is smaller than the sum of its proper divisors (24097248).

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

8295840 is a wasteful number, since it uses less digits than its factorization.

8295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8295840 is about 2880.2499891502. The cubic root of 8295840 is about 202.4355533371.

The spelling of 8295840 in words is "eight million, two hundred ninety-five thousand, eight hundred forty".