848400640 has 144 divisors (see below), whose sum is σ = 2175731712. Its totient is φ = 315850752.

The previous prime is 848400617. The next prime is 848400643. The reversal of 848400640 is 46004848.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 848400596 and 848400605.

It is not an unprimeable number, because it can be changed into a prime (848400643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2763367 + ... + 2763673.

It is an arithmetic number, because the mean of its divisors is an integer number (15109248).

Almost surely, 2^848400640 is an apocalyptic number.

848400640 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 848400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087865856).

848400640 is an abundant number, since it is smaller than the sum of its proper divisors (1327331072).

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

848400640 is a wasteful number, since it uses less digits than its factorization.

848400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 848400640 is about 29127.3177618537. The cubic root of 848400640 is about 946.6737375213.

The spelling of 848400640 in words is "eight hundred forty-eight million, four hundred thousand, six hundred forty".