8243601840 has 240 divisors, whose sum is σ = 28704948480. Its totient is φ = 2117928960.

The previous prime is 8243601827. The next prime is 8243601851. The reversal of 8243601840 is 481063428.

8243601840 is a `hidden beast` number, since 8 + 2 + 4 + 3 + 601 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8243601795 and 8243601804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6003394 + ... + 6004766.

It is an arithmetic number, because the mean of its divisors is an integer number (119603952).

Almost surely, 2^8243601840 is an apocalyptic number.

8243601840 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 8243601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352474240).

8243601840 is an abundant number, since it is smaller than the sum of its proper divisors (20461346640).

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

8243601840 is a wasteful number, since it uses less digits than its factorization.

8243601840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8243601840 is about 90794.2830799385. The cubic root of 8243601840 is about 2020.0975216781.

The spelling of 8243601840 in words is "eight billion, two hundred forty-three million, six hundred one thousand, eight hundred forty".