8001840 has 160 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 1658880.

The previous prime is 8001839. The next prime is 8001841. The reversal of 8001840 is 481008.

It is an interprime number because it is at equal distance from previous prime (8001839) and next prime (8001841).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (8001841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18264 + ... + 18696.

Almost surely, 2^8001840 is an apocalyptic number.

8001840 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 8001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

8001840 is an abundant number, since it is smaller than the sum of its proper divisors (22996176).

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

8001840 is a wasteful number, since it uses less digits than its factorization.

8001840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8001840 is about 2828.7523751647. The cubic root of 8001840 is about 200.0153321579.

Adding to 8001840 its reverse (481008), we get a palindrome (8482848).

The spelling of 8001840 in words is "eight million, one thousand, eight hundred forty".